problem
stringlengths 70
75
| answer
stringlengths 1
4
| metadata
dict |
|---|---|---|
Count how many prime numbers there are between 4864 and 6611 (inclusive) ?
|
203
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 6611,
"n": [
4864,
6611
],
"primes": [
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607
],
"solution": 203,
"source_dataset": "count_primes",
"source_index": 0,
"start": 4864
}
|
Count how many prime numbers there are between 8869 and 9495 (inclusive) ?
|
70
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 9495,
"n": [
8869,
9495
],
"primes": [
8887,
8893,
8923,
8929,
8933,
8941,
8951,
8963,
8969,
8971,
8999,
9001,
9007,
9011,
9013,
9029,
9041,
9043,
9049,
9059,
9067,
9091,
9103,
9109,
9127,
9133,
9137,
9151,
9157,
9161,
9173,
9181,
9187,
9199,
9203,
9209,
9221,
9227,
9239,
9241,
9257,
9277,
9281,
9283,
9293,
9311,
9319,
9323,
9337,
9341,
9343,
9349,
9371,
9377,
9391,
9397,
9403,
9413,
9419,
9421,
9431,
9433,
9437,
9439,
9461,
9463,
9467,
9473,
9479,
9491
],
"solution": 70,
"source_dataset": "count_primes",
"source_index": 1,
"start": 8869
}
|
Count how many prime numbers there are between 735 and 8414 (inclusive) ?
|
921
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 8414,
"n": [
735,
8414
],
"primes": [
739,
743,
751,
757,
761,
769,
773,
787,
797,
809,
811,
821,
823,
827,
829,
839,
853,
857,
859,
863,
877,
881,
883,
887,
907,
911,
919,
929,
937,
941,
947,
953,
967,
971,
977,
983,
991,
997,
1009,
1013,
1019,
1021,
1031,
1033,
1039,
1049,
1051,
1061,
1063,
1069,
1087,
1091,
1093,
1097,
1103,
1109,
1117,
1123,
1129,
1151,
1153,
1163,
1171,
1181,
1187,
1193,
1201,
1213,
1217,
1223,
1229,
1231,
1237,
1249,
1259,
1277,
1279,
1283,
1289,
1291,
1297,
1301,
1303,
1307,
1319,
1321,
1327,
1361,
1367,
1373,
1381,
1399,
1409,
1423,
1427,
1429,
1433,
1439,
1447,
1451,
1453,
1459,
1471,
1481,
1483,
1487,
1489,
1493,
1499,
1511,
1523,
1531,
1543,
1549,
1553,
1559,
1567,
1571,
1579,
1583,
1597,
1601,
1607,
1609,
1613,
1619,
1621,
1627,
1637,
1657,
1663,
1667,
1669,
1693,
1697,
1699,
1709,
1721,
1723,
1733,
1741,
1747,
1753,
1759,
1777,
1783,
1787,
1789,
1801,
1811,
1823,
1831,
1847,
1861,
1867,
1871,
1873,
1877,
1879,
1889,
1901,
1907,
1913,
1931,
1933,
1949,
1951,
1973,
1979,
1987,
1993,
1997,
1999,
2003,
2011,
2017,
2027,
2029,
2039,
2053,
2063,
2069,
2081,
2083,
2087,
2089,
2099,
2111,
2113,
2129,
2131,
2137,
2141,
2143,
2153,
2161,
2179,
2203,
2207,
2213,
2221,
2237,
2239,
2243,
2251,
2267,
2269,
2273,
2281,
2287,
2293,
2297,
2309,
2311,
2333,
2339,
2341,
2347,
2351,
2357,
2371,
2377,
2381,
2383,
2389,
2393,
2399,
2411,
2417,
2423,
2437,
2441,
2447,
2459,
2467,
2473,
2477,
2503,
2521,
2531,
2539,
2543,
2549,
2551,
2557,
2579,
2591,
2593,
2609,
2617,
2621,
2633,
2647,
2657,
2659,
2663,
2671,
2677,
2683,
2687,
2689,
2693,
2699,
2707,
2711,
2713,
2719,
2729,
2731,
2741,
2749,
2753,
2767,
2777,
2789,
2791,
2797,
2801,
2803,
2819,
2833,
2837,
2843,
2851,
2857,
2861,
2879,
2887,
2897,
2903,
2909,
2917,
2927,
2939,
2953,
2957,
2963,
2969,
2971,
2999,
3001,
3011,
3019,
3023,
3037,
3041,
3049,
3061,
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433,
7451,
7457,
7459,
7477,
7481,
7487,
7489,
7499,
7507,
7517,
7523,
7529,
7537,
7541,
7547,
7549,
7559,
7561,
7573,
7577,
7583,
7589,
7591,
7603,
7607,
7621,
7639,
7643,
7649,
7669,
7673,
7681,
7687,
7691,
7699,
7703,
7717,
7723,
7727,
7741,
7753,
7757,
7759,
7789,
7793,
7817,
7823,
7829,
7841,
7853,
7867,
7873,
7877,
7879,
7883,
7901,
7907,
7919,
7927,
7933,
7937,
7949,
7951,
7963,
7993,
8009,
8011,
8017,
8039,
8053,
8059,
8069,
8081,
8087,
8089,
8093,
8101,
8111,
8117,
8123,
8147,
8161,
8167,
8171,
8179,
8191,
8209,
8219,
8221,
8231,
8233,
8237,
8243,
8263,
8269,
8273,
8287,
8291,
8293,
8297,
8311,
8317,
8329,
8353,
8363,
8369,
8377,
8387,
8389
],
"solution": 921,
"source_dataset": "count_primes",
"source_index": 2,
"start": 735
}
|
Count how many prime numbers there are between 638 and 4270 (inclusive) ?
|
470
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 4270,
"n": [
638,
4270
],
"primes": [
641,
643,
647,
653,
659,
661,
673,
677,
683,
691,
701,
709,
719,
727,
733,
739,
743,
751,
757,
761,
769,
773,
787,
797,
809,
811,
821,
823,
827,
829,
839,
853,
857,
859,
863,
877,
881,
883,
887,
907,
911,
919,
929,
937,
941,
947,
953,
967,
971,
977,
983,
991,
997,
1009,
1013,
1019,
1021,
1031,
1033,
1039,
1049,
1051,
1061,
1063,
1069,
1087,
1091,
1093,
1097,
1103,
1109,
1117,
1123,
1129,
1151,
1153,
1163,
1171,
1181,
1187,
1193,
1201,
1213,
1217,
1223,
1229,
1231,
1237,
1249,
1259,
1277,
1279,
1283,
1289,
1291,
1297,
1301,
1303,
1307,
1319,
1321,
1327,
1361,
1367,
1373,
1381,
1399,
1409,
1423,
1427,
1429,
1433,
1439,
1447,
1451,
1453,
1459,
1471,
1481,
1483,
1487,
1489,
1493,
1499,
1511,
1523,
1531,
1543,
1549,
1553,
1559,
1567,
1571,
1579,
1583,
1597,
1601,
1607,
1609,
1613,
1619,
1621,
1627,
1637,
1657,
1663,
1667,
1669,
1693,
1697,
1699,
1709,
1721,
1723,
1733,
1741,
1747,
1753,
1759,
1777,
1783,
1787,
1789,
1801,
1811,
1823,
1831,
1847,
1861,
1867,
1871,
1873,
1877,
1879,
1889,
1901,
1907,
1913,
1931,
1933,
1949,
1951,
1973,
1979,
1987,
1993,
1997,
1999,
2003,
2011,
2017,
2027,
2029,
2039,
2053,
2063,
2069,
2081,
2083,
2087,
2089,
2099,
2111,
2113,
2129,
2131,
2137,
2141,
2143,
2153,
2161,
2179,
2203,
2207,
2213,
2221,
2237,
2239,
2243,
2251,
2267,
2269,
2273,
2281,
2287,
2293,
2297,
2309,
2311,
2333,
2339,
2341,
2347,
2351,
2357,
2371,
2377,
2381,
2383,
2389,
2393,
2399,
2411,
2417,
2423,
2437,
2441,
2447,
2459,
2467,
2473,
2477,
2503,
2521,
2531,
2539,
2543,
2549,
2551,
2557,
2579,
2591,
2593,
2609,
2617,
2621,
2633,
2647,
2657,
2659,
2663,
2671,
2677,
2683,
2687,
2689,
2693,
2699,
2707,
2711,
2713,
2719,
2729,
2731,
2741,
2749,
2753,
2767,
2777,
2789,
2791,
2797,
2801,
2803,
2819,
2833,
2837,
2843,
2851,
2857,
2861,
2879,
2887,
2897,
2903,
2909,
2917,
2927,
2939,
2953,
2957,
2963,
2969,
2971,
2999,
3001,
3011,
3019,
3023,
3037,
3041,
3049,
3061,
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261
],
"solution": 470,
"source_dataset": "count_primes",
"source_index": 3,
"start": 638
}
|
Count how many prime numbers there are between 173 and 1101 (inclusive) ?
|
145
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 1101,
"n": [
173,
1101
],
"primes": [
173,
179,
181,
191,
193,
197,
199,
211,
223,
227,
229,
233,
239,
241,
251,
257,
263,
269,
271,
277,
281,
283,
293,
307,
311,
313,
317,
331,
337,
347,
349,
353,
359,
367,
373,
379,
383,
389,
397,
401,
409,
419,
421,
431,
433,
439,
443,
449,
457,
461,
463,
467,
479,
487,
491,
499,
503,
509,
521,
523,
541,
547,
557,
563,
569,
571,
577,
587,
593,
599,
601,
607,
613,
617,
619,
631,
641,
643,
647,
653,
659,
661,
673,
677,
683,
691,
701,
709,
719,
727,
733,
739,
743,
751,
757,
761,
769,
773,
787,
797,
809,
811,
821,
823,
827,
829,
839,
853,
857,
859,
863,
877,
881,
883,
887,
907,
911,
919,
929,
937,
941,
947,
953,
967,
971,
977,
983,
991,
997,
1009,
1013,
1019,
1021,
1031,
1033,
1039,
1049,
1051,
1061,
1063,
1069,
1087,
1091,
1093,
1097
],
"solution": 145,
"source_dataset": "count_primes",
"source_index": 4,
"start": 173
}
|
Count how many prime numbers there are between 650 and 2490 (inclusive) ?
|
249
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 2490,
"n": [
650,
2490
],
"primes": [
653,
659,
661,
673,
677,
683,
691,
701,
709,
719,
727,
733,
739,
743,
751,
757,
761,
769,
773,
787,
797,
809,
811,
821,
823,
827,
829,
839,
853,
857,
859,
863,
877,
881,
883,
887,
907,
911,
919,
929,
937,
941,
947,
953,
967,
971,
977,
983,
991,
997,
1009,
1013,
1019,
1021,
1031,
1033,
1039,
1049,
1051,
1061,
1063,
1069,
1087,
1091,
1093,
1097,
1103,
1109,
1117,
1123,
1129,
1151,
1153,
1163,
1171,
1181,
1187,
1193,
1201,
1213,
1217,
1223,
1229,
1231,
1237,
1249,
1259,
1277,
1279,
1283,
1289,
1291,
1297,
1301,
1303,
1307,
1319,
1321,
1327,
1361,
1367,
1373,
1381,
1399,
1409,
1423,
1427,
1429,
1433,
1439,
1447,
1451,
1453,
1459,
1471,
1481,
1483,
1487,
1489,
1493,
1499,
1511,
1523,
1531,
1543,
1549,
1553,
1559,
1567,
1571,
1579,
1583,
1597,
1601,
1607,
1609,
1613,
1619,
1621,
1627,
1637,
1657,
1663,
1667,
1669,
1693,
1697,
1699,
1709,
1721,
1723,
1733,
1741,
1747,
1753,
1759,
1777,
1783,
1787,
1789,
1801,
1811,
1823,
1831,
1847,
1861,
1867,
1871,
1873,
1877,
1879,
1889,
1901,
1907,
1913,
1931,
1933,
1949,
1951,
1973,
1979,
1987,
1993,
1997,
1999,
2003,
2011,
2017,
2027,
2029,
2039,
2053,
2063,
2069,
2081,
2083,
2087,
2089,
2099,
2111,
2113,
2129,
2131,
2137,
2141,
2143,
2153,
2161,
2179,
2203,
2207,
2213,
2221,
2237,
2239,
2243,
2251,
2267,
2269,
2273,
2281,
2287,
2293,
2297,
2309,
2311,
2333,
2339,
2341,
2347,
2351,
2357,
2371,
2377,
2381,
2383,
2389,
2393,
2399,
2411,
2417,
2423,
2437,
2441,
2447,
2459,
2467,
2473,
2477
],
"solution": 249,
"source_dataset": "count_primes",
"source_index": 5,
"start": 650
}
|
Count how many prime numbers there are between 3414 and 8864 (inclusive) ?
|
625
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 8864,
"n": [
3414,
8864
],
"primes": [
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433,
7451,
7457,
7459,
7477,
7481,
7487,
7489,
7499,
7507,
7517,
7523,
7529,
7537,
7541,
7547,
7549,
7559,
7561,
7573,
7577,
7583,
7589,
7591,
7603,
7607,
7621,
7639,
7643,
7649,
7669,
7673,
7681,
7687,
7691,
7699,
7703,
7717,
7723,
7727,
7741,
7753,
7757,
7759,
7789,
7793,
7817,
7823,
7829,
7841,
7853,
7867,
7873,
7877,
7879,
7883,
7901,
7907,
7919,
7927,
7933,
7937,
7949,
7951,
7963,
7993,
8009,
8011,
8017,
8039,
8053,
8059,
8069,
8081,
8087,
8089,
8093,
8101,
8111,
8117,
8123,
8147,
8161,
8167,
8171,
8179,
8191,
8209,
8219,
8221,
8231,
8233,
8237,
8243,
8263,
8269,
8273,
8287,
8291,
8293,
8297,
8311,
8317,
8329,
8353,
8363,
8369,
8377,
8387,
8389,
8419,
8423,
8429,
8431,
8443,
8447,
8461,
8467,
8501,
8513,
8521,
8527,
8537,
8539,
8543,
8563,
8573,
8581,
8597,
8599,
8609,
8623,
8627,
8629,
8641,
8647,
8663,
8669,
8677,
8681,
8689,
8693,
8699,
8707,
8713,
8719,
8731,
8737,
8741,
8747,
8753,
8761,
8779,
8783,
8803,
8807,
8819,
8821,
8831,
8837,
8839,
8849,
8861,
8863
],
"solution": 625,
"source_dataset": "count_primes",
"source_index": 6,
"start": 3414
}
|
Count how many prime numbers there are between 3198 and 8039 (inclusive) ?
|
559
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 8039,
"n": [
3198,
8039
],
"primes": [
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433,
7451,
7457,
7459,
7477,
7481,
7487,
7489,
7499,
7507,
7517,
7523,
7529,
7537,
7541,
7547,
7549,
7559,
7561,
7573,
7577,
7583,
7589,
7591,
7603,
7607,
7621,
7639,
7643,
7649,
7669,
7673,
7681,
7687,
7691,
7699,
7703,
7717,
7723,
7727,
7741,
7753,
7757,
7759,
7789,
7793,
7817,
7823,
7829,
7841,
7853,
7867,
7873,
7877,
7879,
7883,
7901,
7907,
7919,
7927,
7933,
7937,
7949,
7951,
7963,
7993,
8009,
8011,
8017,
8039
],
"solution": 559,
"source_dataset": "count_primes",
"source_index": 7,
"start": 3198
}
|
Count how many prime numbers there are between 5380 and 9018 (inclusive) ?
|
413
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 9018,
"n": [
5380,
9018
],
"primes": [
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433,
7451,
7457,
7459,
7477,
7481,
7487,
7489,
7499,
7507,
7517,
7523,
7529,
7537,
7541,
7547,
7549,
7559,
7561,
7573,
7577,
7583,
7589,
7591,
7603,
7607,
7621,
7639,
7643,
7649,
7669,
7673,
7681,
7687,
7691,
7699,
7703,
7717,
7723,
7727,
7741,
7753,
7757,
7759,
7789,
7793,
7817,
7823,
7829,
7841,
7853,
7867,
7873,
7877,
7879,
7883,
7901,
7907,
7919,
7927,
7933,
7937,
7949,
7951,
7963,
7993,
8009,
8011,
8017,
8039,
8053,
8059,
8069,
8081,
8087,
8089,
8093,
8101,
8111,
8117,
8123,
8147,
8161,
8167,
8171,
8179,
8191,
8209,
8219,
8221,
8231,
8233,
8237,
8243,
8263,
8269,
8273,
8287,
8291,
8293,
8297,
8311,
8317,
8329,
8353,
8363,
8369,
8377,
8387,
8389,
8419,
8423,
8429,
8431,
8443,
8447,
8461,
8467,
8501,
8513,
8521,
8527,
8537,
8539,
8543,
8563,
8573,
8581,
8597,
8599,
8609,
8623,
8627,
8629,
8641,
8647,
8663,
8669,
8677,
8681,
8689,
8693,
8699,
8707,
8713,
8719,
8731,
8737,
8741,
8747,
8753,
8761,
8779,
8783,
8803,
8807,
8819,
8821,
8831,
8837,
8839,
8849,
8861,
8863,
8867,
8887,
8893,
8923,
8929,
8933,
8941,
8951,
8963,
8969,
8971,
8999,
9001,
9007,
9011,
9013
],
"solution": 413,
"source_dataset": "count_primes",
"source_index": 8,
"start": 5380
}
|
Count how many prime numbers there are between 1304 and 7296 (inclusive) ?
|
716
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 7296,
"n": [
1304,
7296
],
"primes": [
1307,
1319,
1321,
1327,
1361,
1367,
1373,
1381,
1399,
1409,
1423,
1427,
1429,
1433,
1439,
1447,
1451,
1453,
1459,
1471,
1481,
1483,
1487,
1489,
1493,
1499,
1511,
1523,
1531,
1543,
1549,
1553,
1559,
1567,
1571,
1579,
1583,
1597,
1601,
1607,
1609,
1613,
1619,
1621,
1627,
1637,
1657,
1663,
1667,
1669,
1693,
1697,
1699,
1709,
1721,
1723,
1733,
1741,
1747,
1753,
1759,
1777,
1783,
1787,
1789,
1801,
1811,
1823,
1831,
1847,
1861,
1867,
1871,
1873,
1877,
1879,
1889,
1901,
1907,
1913,
1931,
1933,
1949,
1951,
1973,
1979,
1987,
1993,
1997,
1999,
2003,
2011,
2017,
2027,
2029,
2039,
2053,
2063,
2069,
2081,
2083,
2087,
2089,
2099,
2111,
2113,
2129,
2131,
2137,
2141,
2143,
2153,
2161,
2179,
2203,
2207,
2213,
2221,
2237,
2239,
2243,
2251,
2267,
2269,
2273,
2281,
2287,
2293,
2297,
2309,
2311,
2333,
2339,
2341,
2347,
2351,
2357,
2371,
2377,
2381,
2383,
2389,
2393,
2399,
2411,
2417,
2423,
2437,
2441,
2447,
2459,
2467,
2473,
2477,
2503,
2521,
2531,
2539,
2543,
2549,
2551,
2557,
2579,
2591,
2593,
2609,
2617,
2621,
2633,
2647,
2657,
2659,
2663,
2671,
2677,
2683,
2687,
2689,
2693,
2699,
2707,
2711,
2713,
2719,
2729,
2731,
2741,
2749,
2753,
2767,
2777,
2789,
2791,
2797,
2801,
2803,
2819,
2833,
2837,
2843,
2851,
2857,
2861,
2879,
2887,
2897,
2903,
2909,
2917,
2927,
2939,
2953,
2957,
2963,
2969,
2971,
2999,
3001,
3011,
3019,
3023,
3037,
3041,
3049,
3061,
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283
],
"solution": 716,
"source_dataset": "count_primes",
"source_index": 9,
"start": 1304
}
|
Count how many prime numbers there are between 65 and 6896 (inclusive) ?
|
868
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 6896,
"n": [
65,
6896
],
"primes": [
67,
71,
73,
79,
83,
89,
97,
101,
103,
107,
109,
113,
127,
131,
137,
139,
149,
151,
157,
163,
167,
173,
179,
181,
191,
193,
197,
199,
211,
223,
227,
229,
233,
239,
241,
251,
257,
263,
269,
271,
277,
281,
283,
293,
307,
311,
313,
317,
331,
337,
347,
349,
353,
359,
367,
373,
379,
383,
389,
397,
401,
409,
419,
421,
431,
433,
439,
443,
449,
457,
461,
463,
467,
479,
487,
491,
499,
503,
509,
521,
523,
541,
547,
557,
563,
569,
571,
577,
587,
593,
599,
601,
607,
613,
617,
619,
631,
641,
643,
647,
653,
659,
661,
673,
677,
683,
691,
701,
709,
719,
727,
733,
739,
743,
751,
757,
761,
769,
773,
787,
797,
809,
811,
821,
823,
827,
829,
839,
853,
857,
859,
863,
877,
881,
883,
887,
907,
911,
919,
929,
937,
941,
947,
953,
967,
971,
977,
983,
991,
997,
1009,
1013,
1019,
1021,
1031,
1033,
1039,
1049,
1051,
1061,
1063,
1069,
1087,
1091,
1093,
1097,
1103,
1109,
1117,
1123,
1129,
1151,
1153,
1163,
1171,
1181,
1187,
1193,
1201,
1213,
1217,
1223,
1229,
1231,
1237,
1249,
1259,
1277,
1279,
1283,
1289,
1291,
1297,
1301,
1303,
1307,
1319,
1321,
1327,
1361,
1367,
1373,
1381,
1399,
1409,
1423,
1427,
1429,
1433,
1439,
1447,
1451,
1453,
1459,
1471,
1481,
1483,
1487,
1489,
1493,
1499,
1511,
1523,
1531,
1543,
1549,
1553,
1559,
1567,
1571,
1579,
1583,
1597,
1601,
1607,
1609,
1613,
1619,
1621,
1627,
1637,
1657,
1663,
1667,
1669,
1693,
1697,
1699,
1709,
1721,
1723,
1733,
1741,
1747,
1753,
1759,
1777,
1783,
1787,
1789,
1801,
1811,
1823,
1831,
1847,
1861,
1867,
1871,
1873,
1877,
1879,
1889,
1901,
1907,
1913,
1931,
1933,
1949,
1951,
1973,
1979,
1987,
1993,
1997,
1999,
2003,
2011,
2017,
2027,
2029,
2039,
2053,
2063,
2069,
2081,
2083,
2087,
2089,
2099,
2111,
2113,
2129,
2131,
2137,
2141,
2143,
2153,
2161,
2179,
2203,
2207,
2213,
2221,
2237,
2239,
2243,
2251,
2267,
2269,
2273,
2281,
2287,
2293,
2297,
2309,
2311,
2333,
2339,
2341,
2347,
2351,
2357,
2371,
2377,
2381,
2383,
2389,
2393,
2399,
2411,
2417,
2423,
2437,
2441,
2447,
2459,
2467,
2473,
2477,
2503,
2521,
2531,
2539,
2543,
2549,
2551,
2557,
2579,
2591,
2593,
2609,
2617,
2621,
2633,
2647,
2657,
2659,
2663,
2671,
2677,
2683,
2687,
2689,
2693,
2699,
2707,
2711,
2713,
2719,
2729,
2731,
2741,
2749,
2753,
2767,
2777,
2789,
2791,
2797,
2801,
2803,
2819,
2833,
2837,
2843,
2851,
2857,
2861,
2879,
2887,
2897,
2903,
2909,
2917,
2927,
2939,
2953,
2957,
2963,
2969,
2971,
2999,
3001,
3011,
3019,
3023,
3037,
3041,
3049,
3061,
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883
],
"solution": 868,
"source_dataset": "count_primes",
"source_index": 10,
"start": 65
}
|
Count how many prime numbers there are between 4519 and 7000 (inclusive) ?
|
287
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 7000,
"n": [
4519,
7000
],
"primes": [
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997
],
"solution": 287,
"source_dataset": "count_primes",
"source_index": 11,
"start": 4519
}
|
Count how many prime numbers there are between 1859 and 4884 (inclusive) ?
|
370
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 4884,
"n": [
1859,
4884
],
"primes": [
1861,
1867,
1871,
1873,
1877,
1879,
1889,
1901,
1907,
1913,
1931,
1933,
1949,
1951,
1973,
1979,
1987,
1993,
1997,
1999,
2003,
2011,
2017,
2027,
2029,
2039,
2053,
2063,
2069,
2081,
2083,
2087,
2089,
2099,
2111,
2113,
2129,
2131,
2137,
2141,
2143,
2153,
2161,
2179,
2203,
2207,
2213,
2221,
2237,
2239,
2243,
2251,
2267,
2269,
2273,
2281,
2287,
2293,
2297,
2309,
2311,
2333,
2339,
2341,
2347,
2351,
2357,
2371,
2377,
2381,
2383,
2389,
2393,
2399,
2411,
2417,
2423,
2437,
2441,
2447,
2459,
2467,
2473,
2477,
2503,
2521,
2531,
2539,
2543,
2549,
2551,
2557,
2579,
2591,
2593,
2609,
2617,
2621,
2633,
2647,
2657,
2659,
2663,
2671,
2677,
2683,
2687,
2689,
2693,
2699,
2707,
2711,
2713,
2719,
2729,
2731,
2741,
2749,
2753,
2767,
2777,
2789,
2791,
2797,
2801,
2803,
2819,
2833,
2837,
2843,
2851,
2857,
2861,
2879,
2887,
2897,
2903,
2909,
2917,
2927,
2939,
2953,
2957,
2963,
2969,
2971,
2999,
3001,
3011,
3019,
3023,
3037,
3041,
3049,
3061,
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877
],
"solution": 370,
"source_dataset": "count_primes",
"source_index": 12,
"start": 1859
}
|
Count how many prime numbers there are between 4865 and 6878 (inclusive) ?
|
234
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 6878,
"n": [
4865,
6878
],
"primes": [
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871
],
"solution": 234,
"source_dataset": "count_primes",
"source_index": 13,
"start": 4865
}
|
Count how many prime numbers there are between 5890 and 9164 (inclusive) ?
|
361
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 9164,
"n": [
5890,
9164
],
"primes": [
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433,
7451,
7457,
7459,
7477,
7481,
7487,
7489,
7499,
7507,
7517,
7523,
7529,
7537,
7541,
7547,
7549,
7559,
7561,
7573,
7577,
7583,
7589,
7591,
7603,
7607,
7621,
7639,
7643,
7649,
7669,
7673,
7681,
7687,
7691,
7699,
7703,
7717,
7723,
7727,
7741,
7753,
7757,
7759,
7789,
7793,
7817,
7823,
7829,
7841,
7853,
7867,
7873,
7877,
7879,
7883,
7901,
7907,
7919,
7927,
7933,
7937,
7949,
7951,
7963,
7993,
8009,
8011,
8017,
8039,
8053,
8059,
8069,
8081,
8087,
8089,
8093,
8101,
8111,
8117,
8123,
8147,
8161,
8167,
8171,
8179,
8191,
8209,
8219,
8221,
8231,
8233,
8237,
8243,
8263,
8269,
8273,
8287,
8291,
8293,
8297,
8311,
8317,
8329,
8353,
8363,
8369,
8377,
8387,
8389,
8419,
8423,
8429,
8431,
8443,
8447,
8461,
8467,
8501,
8513,
8521,
8527,
8537,
8539,
8543,
8563,
8573,
8581,
8597,
8599,
8609,
8623,
8627,
8629,
8641,
8647,
8663,
8669,
8677,
8681,
8689,
8693,
8699,
8707,
8713,
8719,
8731,
8737,
8741,
8747,
8753,
8761,
8779,
8783,
8803,
8807,
8819,
8821,
8831,
8837,
8839,
8849,
8861,
8863,
8867,
8887,
8893,
8923,
8929,
8933,
8941,
8951,
8963,
8969,
8971,
8999,
9001,
9007,
9011,
9013,
9029,
9041,
9043,
9049,
9059,
9067,
9091,
9103,
9109,
9127,
9133,
9137,
9151,
9157,
9161
],
"solution": 361,
"source_dataset": "count_primes",
"source_index": 14,
"start": 5890
}
|
Count how many prime numbers there are between 5112 and 9638 (inclusive) ?
|
507
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 9638,
"n": [
5112,
9638
],
"primes": [
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433,
7451,
7457,
7459,
7477,
7481,
7487,
7489,
7499,
7507,
7517,
7523,
7529,
7537,
7541,
7547,
7549,
7559,
7561,
7573,
7577,
7583,
7589,
7591,
7603,
7607,
7621,
7639,
7643,
7649,
7669,
7673,
7681,
7687,
7691,
7699,
7703,
7717,
7723,
7727,
7741,
7753,
7757,
7759,
7789,
7793,
7817,
7823,
7829,
7841,
7853,
7867,
7873,
7877,
7879,
7883,
7901,
7907,
7919,
7927,
7933,
7937,
7949,
7951,
7963,
7993,
8009,
8011,
8017,
8039,
8053,
8059,
8069,
8081,
8087,
8089,
8093,
8101,
8111,
8117,
8123,
8147,
8161,
8167,
8171,
8179,
8191,
8209,
8219,
8221,
8231,
8233,
8237,
8243,
8263,
8269,
8273,
8287,
8291,
8293,
8297,
8311,
8317,
8329,
8353,
8363,
8369,
8377,
8387,
8389,
8419,
8423,
8429,
8431,
8443,
8447,
8461,
8467,
8501,
8513,
8521,
8527,
8537,
8539,
8543,
8563,
8573,
8581,
8597,
8599,
8609,
8623,
8627,
8629,
8641,
8647,
8663,
8669,
8677,
8681,
8689,
8693,
8699,
8707,
8713,
8719,
8731,
8737,
8741,
8747,
8753,
8761,
8779,
8783,
8803,
8807,
8819,
8821,
8831,
8837,
8839,
8849,
8861,
8863,
8867,
8887,
8893,
8923,
8929,
8933,
8941,
8951,
8963,
8969,
8971,
8999,
9001,
9007,
9011,
9013,
9029,
9041,
9043,
9049,
9059,
9067,
9091,
9103,
9109,
9127,
9133,
9137,
9151,
9157,
9161,
9173,
9181,
9187,
9199,
9203,
9209,
9221,
9227,
9239,
9241,
9257,
9277,
9281,
9283,
9293,
9311,
9319,
9323,
9337,
9341,
9343,
9349,
9371,
9377,
9391,
9397,
9403,
9413,
9419,
9421,
9431,
9433,
9437,
9439,
9461,
9463,
9467,
9473,
9479,
9491,
9497,
9511,
9521,
9533,
9539,
9547,
9551,
9587,
9601,
9613,
9619,
9623,
9629,
9631
],
"solution": 507,
"source_dataset": "count_primes",
"source_index": 15,
"start": 5112
}
|
Count how many prime numbers there are between 3746 and 9115 (inclusive) ?
|
608
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 9115,
"n": [
3746,
9115
],
"primes": [
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433,
7451,
7457,
7459,
7477,
7481,
7487,
7489,
7499,
7507,
7517,
7523,
7529,
7537,
7541,
7547,
7549,
7559,
7561,
7573,
7577,
7583,
7589,
7591,
7603,
7607,
7621,
7639,
7643,
7649,
7669,
7673,
7681,
7687,
7691,
7699,
7703,
7717,
7723,
7727,
7741,
7753,
7757,
7759,
7789,
7793,
7817,
7823,
7829,
7841,
7853,
7867,
7873,
7877,
7879,
7883,
7901,
7907,
7919,
7927,
7933,
7937,
7949,
7951,
7963,
7993,
8009,
8011,
8017,
8039,
8053,
8059,
8069,
8081,
8087,
8089,
8093,
8101,
8111,
8117,
8123,
8147,
8161,
8167,
8171,
8179,
8191,
8209,
8219,
8221,
8231,
8233,
8237,
8243,
8263,
8269,
8273,
8287,
8291,
8293,
8297,
8311,
8317,
8329,
8353,
8363,
8369,
8377,
8387,
8389,
8419,
8423,
8429,
8431,
8443,
8447,
8461,
8467,
8501,
8513,
8521,
8527,
8537,
8539,
8543,
8563,
8573,
8581,
8597,
8599,
8609,
8623,
8627,
8629,
8641,
8647,
8663,
8669,
8677,
8681,
8689,
8693,
8699,
8707,
8713,
8719,
8731,
8737,
8741,
8747,
8753,
8761,
8779,
8783,
8803,
8807,
8819,
8821,
8831,
8837,
8839,
8849,
8861,
8863,
8867,
8887,
8893,
8923,
8929,
8933,
8941,
8951,
8963,
8969,
8971,
8999,
9001,
9007,
9011,
9013,
9029,
9041,
9043,
9049,
9059,
9067,
9091,
9103,
9109
],
"solution": 608,
"source_dataset": "count_primes",
"source_index": 16,
"start": 3746
}
|
Count how many prime numbers there are between 4681 and 5102 (inclusive) ?
|
49
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 5102,
"n": [
4681,
5102
],
"primes": [
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101
],
"solution": 49,
"source_dataset": "count_primes",
"source_index": 17,
"start": 4681
}
|
Count how many prime numbers there are between 463 and 3479 (inclusive) ?
|
398
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 3479,
"n": [
463,
3479
],
"primes": [
463,
467,
479,
487,
491,
499,
503,
509,
521,
523,
541,
547,
557,
563,
569,
571,
577,
587,
593,
599,
601,
607,
613,
617,
619,
631,
641,
643,
647,
653,
659,
661,
673,
677,
683,
691,
701,
709,
719,
727,
733,
739,
743,
751,
757,
761,
769,
773,
787,
797,
809,
811,
821,
823,
827,
829,
839,
853,
857,
859,
863,
877,
881,
883,
887,
907,
911,
919,
929,
937,
941,
947,
953,
967,
971,
977,
983,
991,
997,
1009,
1013,
1019,
1021,
1031,
1033,
1039,
1049,
1051,
1061,
1063,
1069,
1087,
1091,
1093,
1097,
1103,
1109,
1117,
1123,
1129,
1151,
1153,
1163,
1171,
1181,
1187,
1193,
1201,
1213,
1217,
1223,
1229,
1231,
1237,
1249,
1259,
1277,
1279,
1283,
1289,
1291,
1297,
1301,
1303,
1307,
1319,
1321,
1327,
1361,
1367,
1373,
1381,
1399,
1409,
1423,
1427,
1429,
1433,
1439,
1447,
1451,
1453,
1459,
1471,
1481,
1483,
1487,
1489,
1493,
1499,
1511,
1523,
1531,
1543,
1549,
1553,
1559,
1567,
1571,
1579,
1583,
1597,
1601,
1607,
1609,
1613,
1619,
1621,
1627,
1637,
1657,
1663,
1667,
1669,
1693,
1697,
1699,
1709,
1721,
1723,
1733,
1741,
1747,
1753,
1759,
1777,
1783,
1787,
1789,
1801,
1811,
1823,
1831,
1847,
1861,
1867,
1871,
1873,
1877,
1879,
1889,
1901,
1907,
1913,
1931,
1933,
1949,
1951,
1973,
1979,
1987,
1993,
1997,
1999,
2003,
2011,
2017,
2027,
2029,
2039,
2053,
2063,
2069,
2081,
2083,
2087,
2089,
2099,
2111,
2113,
2129,
2131,
2137,
2141,
2143,
2153,
2161,
2179,
2203,
2207,
2213,
2221,
2237,
2239,
2243,
2251,
2267,
2269,
2273,
2281,
2287,
2293,
2297,
2309,
2311,
2333,
2339,
2341,
2347,
2351,
2357,
2371,
2377,
2381,
2383,
2389,
2393,
2399,
2411,
2417,
2423,
2437,
2441,
2447,
2459,
2467,
2473,
2477,
2503,
2521,
2531,
2539,
2543,
2549,
2551,
2557,
2579,
2591,
2593,
2609,
2617,
2621,
2633,
2647,
2657,
2659,
2663,
2671,
2677,
2683,
2687,
2689,
2693,
2699,
2707,
2711,
2713,
2719,
2729,
2731,
2741,
2749,
2753,
2767,
2777,
2789,
2791,
2797,
2801,
2803,
2819,
2833,
2837,
2843,
2851,
2857,
2861,
2879,
2887,
2897,
2903,
2909,
2917,
2927,
2939,
2953,
2957,
2963,
2969,
2971,
2999,
3001,
3011,
3019,
3023,
3037,
3041,
3049,
3061,
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469
],
"solution": 398,
"source_dataset": "count_primes",
"source_index": 18,
"start": 463
}
|
Count how many prime numbers there are between 650 and 6193 (inclusive) ?
|
686
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 6193,
"n": [
650,
6193
],
"primes": [
653,
659,
661,
673,
677,
683,
691,
701,
709,
719,
727,
733,
739,
743,
751,
757,
761,
769,
773,
787,
797,
809,
811,
821,
823,
827,
829,
839,
853,
857,
859,
863,
877,
881,
883,
887,
907,
911,
919,
929,
937,
941,
947,
953,
967,
971,
977,
983,
991,
997,
1009,
1013,
1019,
1021,
1031,
1033,
1039,
1049,
1051,
1061,
1063,
1069,
1087,
1091,
1093,
1097,
1103,
1109,
1117,
1123,
1129,
1151,
1153,
1163,
1171,
1181,
1187,
1193,
1201,
1213,
1217,
1223,
1229,
1231,
1237,
1249,
1259,
1277,
1279,
1283,
1289,
1291,
1297,
1301,
1303,
1307,
1319,
1321,
1327,
1361,
1367,
1373,
1381,
1399,
1409,
1423,
1427,
1429,
1433,
1439,
1447,
1451,
1453,
1459,
1471,
1481,
1483,
1487,
1489,
1493,
1499,
1511,
1523,
1531,
1543,
1549,
1553,
1559,
1567,
1571,
1579,
1583,
1597,
1601,
1607,
1609,
1613,
1619,
1621,
1627,
1637,
1657,
1663,
1667,
1669,
1693,
1697,
1699,
1709,
1721,
1723,
1733,
1741,
1747,
1753,
1759,
1777,
1783,
1787,
1789,
1801,
1811,
1823,
1831,
1847,
1861,
1867,
1871,
1873,
1877,
1879,
1889,
1901,
1907,
1913,
1931,
1933,
1949,
1951,
1973,
1979,
1987,
1993,
1997,
1999,
2003,
2011,
2017,
2027,
2029,
2039,
2053,
2063,
2069,
2081,
2083,
2087,
2089,
2099,
2111,
2113,
2129,
2131,
2137,
2141,
2143,
2153,
2161,
2179,
2203,
2207,
2213,
2221,
2237,
2239,
2243,
2251,
2267,
2269,
2273,
2281,
2287,
2293,
2297,
2309,
2311,
2333,
2339,
2341,
2347,
2351,
2357,
2371,
2377,
2381,
2383,
2389,
2393,
2399,
2411,
2417,
2423,
2437,
2441,
2447,
2459,
2467,
2473,
2477,
2503,
2521,
2531,
2539,
2543,
2549,
2551,
2557,
2579,
2591,
2593,
2609,
2617,
2621,
2633,
2647,
2657,
2659,
2663,
2671,
2677,
2683,
2687,
2689,
2693,
2699,
2707,
2711,
2713,
2719,
2729,
2731,
2741,
2749,
2753,
2767,
2777,
2789,
2791,
2797,
2801,
2803,
2819,
2833,
2837,
2843,
2851,
2857,
2861,
2879,
2887,
2897,
2903,
2909,
2917,
2927,
2939,
2953,
2957,
2963,
2969,
2971,
2999,
3001,
3011,
3019,
3023,
3037,
3041,
3049,
3061,
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173
],
"solution": 686,
"source_dataset": "count_primes",
"source_index": 19,
"start": 650
}
|
Count how many prime numbers there are between 1633 and 7000 (inclusive) ?
|
642
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 7000,
"n": [
1633,
7000
],
"primes": [
1637,
1657,
1663,
1667,
1669,
1693,
1697,
1699,
1709,
1721,
1723,
1733,
1741,
1747,
1753,
1759,
1777,
1783,
1787,
1789,
1801,
1811,
1823,
1831,
1847,
1861,
1867,
1871,
1873,
1877,
1879,
1889,
1901,
1907,
1913,
1931,
1933,
1949,
1951,
1973,
1979,
1987,
1993,
1997,
1999,
2003,
2011,
2017,
2027,
2029,
2039,
2053,
2063,
2069,
2081,
2083,
2087,
2089,
2099,
2111,
2113,
2129,
2131,
2137,
2141,
2143,
2153,
2161,
2179,
2203,
2207,
2213,
2221,
2237,
2239,
2243,
2251,
2267,
2269,
2273,
2281,
2287,
2293,
2297,
2309,
2311,
2333,
2339,
2341,
2347,
2351,
2357,
2371,
2377,
2381,
2383,
2389,
2393,
2399,
2411,
2417,
2423,
2437,
2441,
2447,
2459,
2467,
2473,
2477,
2503,
2521,
2531,
2539,
2543,
2549,
2551,
2557,
2579,
2591,
2593,
2609,
2617,
2621,
2633,
2647,
2657,
2659,
2663,
2671,
2677,
2683,
2687,
2689,
2693,
2699,
2707,
2711,
2713,
2719,
2729,
2731,
2741,
2749,
2753,
2767,
2777,
2789,
2791,
2797,
2801,
2803,
2819,
2833,
2837,
2843,
2851,
2857,
2861,
2879,
2887,
2897,
2903,
2909,
2917,
2927,
2939,
2953,
2957,
2963,
2969,
2971,
2999,
3001,
3011,
3019,
3023,
3037,
3041,
3049,
3061,
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997
],
"solution": 642,
"source_dataset": "count_primes",
"source_index": 20,
"start": 1633
}
|
Count how many prime numbers there are between 3917 and 5688 (inclusive) ?
|
207
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 5688,
"n": [
3917,
5688
],
"primes": [
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683
],
"solution": 207,
"source_dataset": "count_primes",
"source_index": 21,
"start": 3917
}
|
Count how many prime numbers there are between 6050 and 9109 (inclusive) ?
|
341
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 9109,
"n": [
6050,
9109
],
"primes": [
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433,
7451,
7457,
7459,
7477,
7481,
7487,
7489,
7499,
7507,
7517,
7523,
7529,
7537,
7541,
7547,
7549,
7559,
7561,
7573,
7577,
7583,
7589,
7591,
7603,
7607,
7621,
7639,
7643,
7649,
7669,
7673,
7681,
7687,
7691,
7699,
7703,
7717,
7723,
7727,
7741,
7753,
7757,
7759,
7789,
7793,
7817,
7823,
7829,
7841,
7853,
7867,
7873,
7877,
7879,
7883,
7901,
7907,
7919,
7927,
7933,
7937,
7949,
7951,
7963,
7993,
8009,
8011,
8017,
8039,
8053,
8059,
8069,
8081,
8087,
8089,
8093,
8101,
8111,
8117,
8123,
8147,
8161,
8167,
8171,
8179,
8191,
8209,
8219,
8221,
8231,
8233,
8237,
8243,
8263,
8269,
8273,
8287,
8291,
8293,
8297,
8311,
8317,
8329,
8353,
8363,
8369,
8377,
8387,
8389,
8419,
8423,
8429,
8431,
8443,
8447,
8461,
8467,
8501,
8513,
8521,
8527,
8537,
8539,
8543,
8563,
8573,
8581,
8597,
8599,
8609,
8623,
8627,
8629,
8641,
8647,
8663,
8669,
8677,
8681,
8689,
8693,
8699,
8707,
8713,
8719,
8731,
8737,
8741,
8747,
8753,
8761,
8779,
8783,
8803,
8807,
8819,
8821,
8831,
8837,
8839,
8849,
8861,
8863,
8867,
8887,
8893,
8923,
8929,
8933,
8941,
8951,
8963,
8969,
8971,
8999,
9001,
9007,
9011,
9013,
9029,
9041,
9043,
9049,
9059,
9067,
9091,
9103,
9109
],
"solution": 341,
"source_dataset": "count_primes",
"source_index": 22,
"start": 6050
}
|
Count how many prime numbers there are between 3923 and 4933 (inclusive) ?
|
116
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 4933,
"n": [
3923,
4933
],
"primes": [
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933
],
"solution": 116,
"source_dataset": "count_primes",
"source_index": 23,
"start": 3923
}
|
Count how many prime numbers there are between 8803 and 8963 (inclusive) ?
|
19
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 8963,
"n": [
8803,
8963
],
"primes": [
8803,
8807,
8819,
8821,
8831,
8837,
8839,
8849,
8861,
8863,
8867,
8887,
8893,
8923,
8929,
8933,
8941,
8951,
8963
],
"solution": 19,
"source_dataset": "count_primes",
"source_index": 24,
"start": 8803
}
|
Count how many prime numbers there are between 3009 and 3362 (inclusive) ?
|
43
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 3362,
"n": [
3009,
3362
],
"primes": [
3011,
3019,
3023,
3037,
3041,
3049,
3061,
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361
],
"solution": 43,
"source_dataset": "count_primes",
"source_index": 25,
"start": 3009
}
|
Count how many prime numbers there are between 725 and 4060 (inclusive) ?
|
432
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 4060,
"n": [
725,
4060
],
"primes": [
727,
733,
739,
743,
751,
757,
761,
769,
773,
787,
797,
809,
811,
821,
823,
827,
829,
839,
853,
857,
859,
863,
877,
881,
883,
887,
907,
911,
919,
929,
937,
941,
947,
953,
967,
971,
977,
983,
991,
997,
1009,
1013,
1019,
1021,
1031,
1033,
1039,
1049,
1051,
1061,
1063,
1069,
1087,
1091,
1093,
1097,
1103,
1109,
1117,
1123,
1129,
1151,
1153,
1163,
1171,
1181,
1187,
1193,
1201,
1213,
1217,
1223,
1229,
1231,
1237,
1249,
1259,
1277,
1279,
1283,
1289,
1291,
1297,
1301,
1303,
1307,
1319,
1321,
1327,
1361,
1367,
1373,
1381,
1399,
1409,
1423,
1427,
1429,
1433,
1439,
1447,
1451,
1453,
1459,
1471,
1481,
1483,
1487,
1489,
1493,
1499,
1511,
1523,
1531,
1543,
1549,
1553,
1559,
1567,
1571,
1579,
1583,
1597,
1601,
1607,
1609,
1613,
1619,
1621,
1627,
1637,
1657,
1663,
1667,
1669,
1693,
1697,
1699,
1709,
1721,
1723,
1733,
1741,
1747,
1753,
1759,
1777,
1783,
1787,
1789,
1801,
1811,
1823,
1831,
1847,
1861,
1867,
1871,
1873,
1877,
1879,
1889,
1901,
1907,
1913,
1931,
1933,
1949,
1951,
1973,
1979,
1987,
1993,
1997,
1999,
2003,
2011,
2017,
2027,
2029,
2039,
2053,
2063,
2069,
2081,
2083,
2087,
2089,
2099,
2111,
2113,
2129,
2131,
2137,
2141,
2143,
2153,
2161,
2179,
2203,
2207,
2213,
2221,
2237,
2239,
2243,
2251,
2267,
2269,
2273,
2281,
2287,
2293,
2297,
2309,
2311,
2333,
2339,
2341,
2347,
2351,
2357,
2371,
2377,
2381,
2383,
2389,
2393,
2399,
2411,
2417,
2423,
2437,
2441,
2447,
2459,
2467,
2473,
2477,
2503,
2521,
2531,
2539,
2543,
2549,
2551,
2557,
2579,
2591,
2593,
2609,
2617,
2621,
2633,
2647,
2657,
2659,
2663,
2671,
2677,
2683,
2687,
2689,
2693,
2699,
2707,
2711,
2713,
2719,
2729,
2731,
2741,
2749,
2753,
2767,
2777,
2789,
2791,
2797,
2801,
2803,
2819,
2833,
2837,
2843,
2851,
2857,
2861,
2879,
2887,
2897,
2903,
2909,
2917,
2927,
2939,
2953,
2957,
2963,
2969,
2971,
2999,
3001,
3011,
3019,
3023,
3037,
3041,
3049,
3061,
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057
],
"solution": 432,
"source_dataset": "count_primes",
"source_index": 26,
"start": 725
}
|
Count how many prime numbers there are between 3604 and 9666 (inclusive) ?
|
690
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 9666,
"n": [
3604,
9666
],
"primes": [
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433,
7451,
7457,
7459,
7477,
7481,
7487,
7489,
7499,
7507,
7517,
7523,
7529,
7537,
7541,
7547,
7549,
7559,
7561,
7573,
7577,
7583,
7589,
7591,
7603,
7607,
7621,
7639,
7643,
7649,
7669,
7673,
7681,
7687,
7691,
7699,
7703,
7717,
7723,
7727,
7741,
7753,
7757,
7759,
7789,
7793,
7817,
7823,
7829,
7841,
7853,
7867,
7873,
7877,
7879,
7883,
7901,
7907,
7919,
7927,
7933,
7937,
7949,
7951,
7963,
7993,
8009,
8011,
8017,
8039,
8053,
8059,
8069,
8081,
8087,
8089,
8093,
8101,
8111,
8117,
8123,
8147,
8161,
8167,
8171,
8179,
8191,
8209,
8219,
8221,
8231,
8233,
8237,
8243,
8263,
8269,
8273,
8287,
8291,
8293,
8297,
8311,
8317,
8329,
8353,
8363,
8369,
8377,
8387,
8389,
8419,
8423,
8429,
8431,
8443,
8447,
8461,
8467,
8501,
8513,
8521,
8527,
8537,
8539,
8543,
8563,
8573,
8581,
8597,
8599,
8609,
8623,
8627,
8629,
8641,
8647,
8663,
8669,
8677,
8681,
8689,
8693,
8699,
8707,
8713,
8719,
8731,
8737,
8741,
8747,
8753,
8761,
8779,
8783,
8803,
8807,
8819,
8821,
8831,
8837,
8839,
8849,
8861,
8863,
8867,
8887,
8893,
8923,
8929,
8933,
8941,
8951,
8963,
8969,
8971,
8999,
9001,
9007,
9011,
9013,
9029,
9041,
9043,
9049,
9059,
9067,
9091,
9103,
9109,
9127,
9133,
9137,
9151,
9157,
9161,
9173,
9181,
9187,
9199,
9203,
9209,
9221,
9227,
9239,
9241,
9257,
9277,
9281,
9283,
9293,
9311,
9319,
9323,
9337,
9341,
9343,
9349,
9371,
9377,
9391,
9397,
9403,
9413,
9419,
9421,
9431,
9433,
9437,
9439,
9461,
9463,
9467,
9473,
9479,
9491,
9497,
9511,
9521,
9533,
9539,
9547,
9551,
9587,
9601,
9613,
9619,
9623,
9629,
9631,
9643,
9649,
9661
],
"solution": 690,
"source_dataset": "count_primes",
"source_index": 27,
"start": 3604
}
|
Count how many prime numbers there are between 180 and 1429 (inclusive) ?
|
185
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 1429,
"n": [
180,
1429
],
"primes": [
181,
191,
193,
197,
199,
211,
223,
227,
229,
233,
239,
241,
251,
257,
263,
269,
271,
277,
281,
283,
293,
307,
311,
313,
317,
331,
337,
347,
349,
353,
359,
367,
373,
379,
383,
389,
397,
401,
409,
419,
421,
431,
433,
439,
443,
449,
457,
461,
463,
467,
479,
487,
491,
499,
503,
509,
521,
523,
541,
547,
557,
563,
569,
571,
577,
587,
593,
599,
601,
607,
613,
617,
619,
631,
641,
643,
647,
653,
659,
661,
673,
677,
683,
691,
701,
709,
719,
727,
733,
739,
743,
751,
757,
761,
769,
773,
787,
797,
809,
811,
821,
823,
827,
829,
839,
853,
857,
859,
863,
877,
881,
883,
887,
907,
911,
919,
929,
937,
941,
947,
953,
967,
971,
977,
983,
991,
997,
1009,
1013,
1019,
1021,
1031,
1033,
1039,
1049,
1051,
1061,
1063,
1069,
1087,
1091,
1093,
1097,
1103,
1109,
1117,
1123,
1129,
1151,
1153,
1163,
1171,
1181,
1187,
1193,
1201,
1213,
1217,
1223,
1229,
1231,
1237,
1249,
1259,
1277,
1279,
1283,
1289,
1291,
1297,
1301,
1303,
1307,
1319,
1321,
1327,
1361,
1367,
1373,
1381,
1399,
1409,
1423,
1427,
1429
],
"solution": 185,
"source_dataset": "count_primes",
"source_index": 28,
"start": 180
}
|
Count how many prime numbers there are between 892 and 5756 (inclusive) ?
|
603
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 5756,
"n": [
892,
5756
],
"primes": [
907,
911,
919,
929,
937,
941,
947,
953,
967,
971,
977,
983,
991,
997,
1009,
1013,
1019,
1021,
1031,
1033,
1039,
1049,
1051,
1061,
1063,
1069,
1087,
1091,
1093,
1097,
1103,
1109,
1117,
1123,
1129,
1151,
1153,
1163,
1171,
1181,
1187,
1193,
1201,
1213,
1217,
1223,
1229,
1231,
1237,
1249,
1259,
1277,
1279,
1283,
1289,
1291,
1297,
1301,
1303,
1307,
1319,
1321,
1327,
1361,
1367,
1373,
1381,
1399,
1409,
1423,
1427,
1429,
1433,
1439,
1447,
1451,
1453,
1459,
1471,
1481,
1483,
1487,
1489,
1493,
1499,
1511,
1523,
1531,
1543,
1549,
1553,
1559,
1567,
1571,
1579,
1583,
1597,
1601,
1607,
1609,
1613,
1619,
1621,
1627,
1637,
1657,
1663,
1667,
1669,
1693,
1697,
1699,
1709,
1721,
1723,
1733,
1741,
1747,
1753,
1759,
1777,
1783,
1787,
1789,
1801,
1811,
1823,
1831,
1847,
1861,
1867,
1871,
1873,
1877,
1879,
1889,
1901,
1907,
1913,
1931,
1933,
1949,
1951,
1973,
1979,
1987,
1993,
1997,
1999,
2003,
2011,
2017,
2027,
2029,
2039,
2053,
2063,
2069,
2081,
2083,
2087,
2089,
2099,
2111,
2113,
2129,
2131,
2137,
2141,
2143,
2153,
2161,
2179,
2203,
2207,
2213,
2221,
2237,
2239,
2243,
2251,
2267,
2269,
2273,
2281,
2287,
2293,
2297,
2309,
2311,
2333,
2339,
2341,
2347,
2351,
2357,
2371,
2377,
2381,
2383,
2389,
2393,
2399,
2411,
2417,
2423,
2437,
2441,
2447,
2459,
2467,
2473,
2477,
2503,
2521,
2531,
2539,
2543,
2549,
2551,
2557,
2579,
2591,
2593,
2609,
2617,
2621,
2633,
2647,
2657,
2659,
2663,
2671,
2677,
2683,
2687,
2689,
2693,
2699,
2707,
2711,
2713,
2719,
2729,
2731,
2741,
2749,
2753,
2767,
2777,
2789,
2791,
2797,
2801,
2803,
2819,
2833,
2837,
2843,
2851,
2857,
2861,
2879,
2887,
2897,
2903,
2909,
2917,
2927,
2939,
2953,
2957,
2963,
2969,
2971,
2999,
3001,
3011,
3019,
3023,
3037,
3041,
3049,
3061,
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749
],
"solution": 603,
"source_dataset": "count_primes",
"source_index": 29,
"start": 892
}
|
Count how many prime numbers there are between 6999 and 7555 (inclusive) ?
|
58
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 7555,
"n": [
6999,
7555
],
"primes": [
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433,
7451,
7457,
7459,
7477,
7481,
7487,
7489,
7499,
7507,
7517,
7523,
7529,
7537,
7541,
7547,
7549
],
"solution": 58,
"source_dataset": "count_primes",
"source_index": 30,
"start": 6999
}
|
Count how many prime numbers there are between 3264 and 8312 (inclusive) ?
|
582
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 8312,
"n": [
3264,
8312
],
"primes": [
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433,
7451,
7457,
7459,
7477,
7481,
7487,
7489,
7499,
7507,
7517,
7523,
7529,
7537,
7541,
7547,
7549,
7559,
7561,
7573,
7577,
7583,
7589,
7591,
7603,
7607,
7621,
7639,
7643,
7649,
7669,
7673,
7681,
7687,
7691,
7699,
7703,
7717,
7723,
7727,
7741,
7753,
7757,
7759,
7789,
7793,
7817,
7823,
7829,
7841,
7853,
7867,
7873,
7877,
7879,
7883,
7901,
7907,
7919,
7927,
7933,
7937,
7949,
7951,
7963,
7993,
8009,
8011,
8017,
8039,
8053,
8059,
8069,
8081,
8087,
8089,
8093,
8101,
8111,
8117,
8123,
8147,
8161,
8167,
8171,
8179,
8191,
8209,
8219,
8221,
8231,
8233,
8237,
8243,
8263,
8269,
8273,
8287,
8291,
8293,
8297,
8311
],
"solution": 582,
"source_dataset": "count_primes",
"source_index": 31,
"start": 3264
}
|
Count how many prime numbers there are between 3429 and 8420 (inclusive) ?
|
572
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 8420,
"n": [
3429,
8420
],
"primes": [
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433,
7451,
7457,
7459,
7477,
7481,
7487,
7489,
7499,
7507,
7517,
7523,
7529,
7537,
7541,
7547,
7549,
7559,
7561,
7573,
7577,
7583,
7589,
7591,
7603,
7607,
7621,
7639,
7643,
7649,
7669,
7673,
7681,
7687,
7691,
7699,
7703,
7717,
7723,
7727,
7741,
7753,
7757,
7759,
7789,
7793,
7817,
7823,
7829,
7841,
7853,
7867,
7873,
7877,
7879,
7883,
7901,
7907,
7919,
7927,
7933,
7937,
7949,
7951,
7963,
7993,
8009,
8011,
8017,
8039,
8053,
8059,
8069,
8081,
8087,
8089,
8093,
8101,
8111,
8117,
8123,
8147,
8161,
8167,
8171,
8179,
8191,
8209,
8219,
8221,
8231,
8233,
8237,
8243,
8263,
8269,
8273,
8287,
8291,
8293,
8297,
8311,
8317,
8329,
8353,
8363,
8369,
8377,
8387,
8389,
8419
],
"solution": 572,
"source_dataset": "count_primes",
"source_index": 32,
"start": 3429
}
|
Count how many prime numbers there are between 737 and 4077 (inclusive) ?
|
431
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 4077,
"n": [
737,
4077
],
"primes": [
739,
743,
751,
757,
761,
769,
773,
787,
797,
809,
811,
821,
823,
827,
829,
839,
853,
857,
859,
863,
877,
881,
883,
887,
907,
911,
919,
929,
937,
941,
947,
953,
967,
971,
977,
983,
991,
997,
1009,
1013,
1019,
1021,
1031,
1033,
1039,
1049,
1051,
1061,
1063,
1069,
1087,
1091,
1093,
1097,
1103,
1109,
1117,
1123,
1129,
1151,
1153,
1163,
1171,
1181,
1187,
1193,
1201,
1213,
1217,
1223,
1229,
1231,
1237,
1249,
1259,
1277,
1279,
1283,
1289,
1291,
1297,
1301,
1303,
1307,
1319,
1321,
1327,
1361,
1367,
1373,
1381,
1399,
1409,
1423,
1427,
1429,
1433,
1439,
1447,
1451,
1453,
1459,
1471,
1481,
1483,
1487,
1489,
1493,
1499,
1511,
1523,
1531,
1543,
1549,
1553,
1559,
1567,
1571,
1579,
1583,
1597,
1601,
1607,
1609,
1613,
1619,
1621,
1627,
1637,
1657,
1663,
1667,
1669,
1693,
1697,
1699,
1709,
1721,
1723,
1733,
1741,
1747,
1753,
1759,
1777,
1783,
1787,
1789,
1801,
1811,
1823,
1831,
1847,
1861,
1867,
1871,
1873,
1877,
1879,
1889,
1901,
1907,
1913,
1931,
1933,
1949,
1951,
1973,
1979,
1987,
1993,
1997,
1999,
2003,
2011,
2017,
2027,
2029,
2039,
2053,
2063,
2069,
2081,
2083,
2087,
2089,
2099,
2111,
2113,
2129,
2131,
2137,
2141,
2143,
2153,
2161,
2179,
2203,
2207,
2213,
2221,
2237,
2239,
2243,
2251,
2267,
2269,
2273,
2281,
2287,
2293,
2297,
2309,
2311,
2333,
2339,
2341,
2347,
2351,
2357,
2371,
2377,
2381,
2383,
2389,
2393,
2399,
2411,
2417,
2423,
2437,
2441,
2447,
2459,
2467,
2473,
2477,
2503,
2521,
2531,
2539,
2543,
2549,
2551,
2557,
2579,
2591,
2593,
2609,
2617,
2621,
2633,
2647,
2657,
2659,
2663,
2671,
2677,
2683,
2687,
2689,
2693,
2699,
2707,
2711,
2713,
2719,
2729,
2731,
2741,
2749,
2753,
2767,
2777,
2789,
2791,
2797,
2801,
2803,
2819,
2833,
2837,
2843,
2851,
2857,
2861,
2879,
2887,
2897,
2903,
2909,
2917,
2927,
2939,
2953,
2957,
2963,
2969,
2971,
2999,
3001,
3011,
3019,
3023,
3037,
3041,
3049,
3061,
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073
],
"solution": 431,
"source_dataset": "count_primes",
"source_index": 33,
"start": 737
}
|
Count how many prime numbers there are between 2236 and 8999 (inclusive) ?
|
786
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 8999,
"n": [
2236,
8999
],
"primes": [
2237,
2239,
2243,
2251,
2267,
2269,
2273,
2281,
2287,
2293,
2297,
2309,
2311,
2333,
2339,
2341,
2347,
2351,
2357,
2371,
2377,
2381,
2383,
2389,
2393,
2399,
2411,
2417,
2423,
2437,
2441,
2447,
2459,
2467,
2473,
2477,
2503,
2521,
2531,
2539,
2543,
2549,
2551,
2557,
2579,
2591,
2593,
2609,
2617,
2621,
2633,
2647,
2657,
2659,
2663,
2671,
2677,
2683,
2687,
2689,
2693,
2699,
2707,
2711,
2713,
2719,
2729,
2731,
2741,
2749,
2753,
2767,
2777,
2789,
2791,
2797,
2801,
2803,
2819,
2833,
2837,
2843,
2851,
2857,
2861,
2879,
2887,
2897,
2903,
2909,
2917,
2927,
2939,
2953,
2957,
2963,
2969,
2971,
2999,
3001,
3011,
3019,
3023,
3037,
3041,
3049,
3061,
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433,
7451,
7457,
7459,
7477,
7481,
7487,
7489,
7499,
7507,
7517,
7523,
7529,
7537,
7541,
7547,
7549,
7559,
7561,
7573,
7577,
7583,
7589,
7591,
7603,
7607,
7621,
7639,
7643,
7649,
7669,
7673,
7681,
7687,
7691,
7699,
7703,
7717,
7723,
7727,
7741,
7753,
7757,
7759,
7789,
7793,
7817,
7823,
7829,
7841,
7853,
7867,
7873,
7877,
7879,
7883,
7901,
7907,
7919,
7927,
7933,
7937,
7949,
7951,
7963,
7993,
8009,
8011,
8017,
8039,
8053,
8059,
8069,
8081,
8087,
8089,
8093,
8101,
8111,
8117,
8123,
8147,
8161,
8167,
8171,
8179,
8191,
8209,
8219,
8221,
8231,
8233,
8237,
8243,
8263,
8269,
8273,
8287,
8291,
8293,
8297,
8311,
8317,
8329,
8353,
8363,
8369,
8377,
8387,
8389,
8419,
8423,
8429,
8431,
8443,
8447,
8461,
8467,
8501,
8513,
8521,
8527,
8537,
8539,
8543,
8563,
8573,
8581,
8597,
8599,
8609,
8623,
8627,
8629,
8641,
8647,
8663,
8669,
8677,
8681,
8689,
8693,
8699,
8707,
8713,
8719,
8731,
8737,
8741,
8747,
8753,
8761,
8779,
8783,
8803,
8807,
8819,
8821,
8831,
8837,
8839,
8849,
8861,
8863,
8867,
8887,
8893,
8923,
8929,
8933,
8941,
8951,
8963,
8969,
8971,
8999
],
"solution": 786,
"source_dataset": "count_primes",
"source_index": 34,
"start": 2236
}
|
Count how many prime numbers there are between 2456 and 5629 (inclusive) ?
|
376
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 5629,
"n": [
2456,
5629
],
"primes": [
2459,
2467,
2473,
2477,
2503,
2521,
2531,
2539,
2543,
2549,
2551,
2557,
2579,
2591,
2593,
2609,
2617,
2621,
2633,
2647,
2657,
2659,
2663,
2671,
2677,
2683,
2687,
2689,
2693,
2699,
2707,
2711,
2713,
2719,
2729,
2731,
2741,
2749,
2753,
2767,
2777,
2789,
2791,
2797,
2801,
2803,
2819,
2833,
2837,
2843,
2851,
2857,
2861,
2879,
2887,
2897,
2903,
2909,
2917,
2927,
2939,
2953,
2957,
2963,
2969,
2971,
2999,
3001,
3011,
3019,
3023,
3037,
3041,
3049,
3061,
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623
],
"solution": 376,
"source_dataset": "count_primes",
"source_index": 35,
"start": 2456
}
|
Count how many prime numbers there are between 628 and 8930 (inclusive) ?
|
996
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 8930,
"n": [
628,
8930
],
"primes": [
631,
641,
643,
647,
653,
659,
661,
673,
677,
683,
691,
701,
709,
719,
727,
733,
739,
743,
751,
757,
761,
769,
773,
787,
797,
809,
811,
821,
823,
827,
829,
839,
853,
857,
859,
863,
877,
881,
883,
887,
907,
911,
919,
929,
937,
941,
947,
953,
967,
971,
977,
983,
991,
997,
1009,
1013,
1019,
1021,
1031,
1033,
1039,
1049,
1051,
1061,
1063,
1069,
1087,
1091,
1093,
1097,
1103,
1109,
1117,
1123,
1129,
1151,
1153,
1163,
1171,
1181,
1187,
1193,
1201,
1213,
1217,
1223,
1229,
1231,
1237,
1249,
1259,
1277,
1279,
1283,
1289,
1291,
1297,
1301,
1303,
1307,
1319,
1321,
1327,
1361,
1367,
1373,
1381,
1399,
1409,
1423,
1427,
1429,
1433,
1439,
1447,
1451,
1453,
1459,
1471,
1481,
1483,
1487,
1489,
1493,
1499,
1511,
1523,
1531,
1543,
1549,
1553,
1559,
1567,
1571,
1579,
1583,
1597,
1601,
1607,
1609,
1613,
1619,
1621,
1627,
1637,
1657,
1663,
1667,
1669,
1693,
1697,
1699,
1709,
1721,
1723,
1733,
1741,
1747,
1753,
1759,
1777,
1783,
1787,
1789,
1801,
1811,
1823,
1831,
1847,
1861,
1867,
1871,
1873,
1877,
1879,
1889,
1901,
1907,
1913,
1931,
1933,
1949,
1951,
1973,
1979,
1987,
1993,
1997,
1999,
2003,
2011,
2017,
2027,
2029,
2039,
2053,
2063,
2069,
2081,
2083,
2087,
2089,
2099,
2111,
2113,
2129,
2131,
2137,
2141,
2143,
2153,
2161,
2179,
2203,
2207,
2213,
2221,
2237,
2239,
2243,
2251,
2267,
2269,
2273,
2281,
2287,
2293,
2297,
2309,
2311,
2333,
2339,
2341,
2347,
2351,
2357,
2371,
2377,
2381,
2383,
2389,
2393,
2399,
2411,
2417,
2423,
2437,
2441,
2447,
2459,
2467,
2473,
2477,
2503,
2521,
2531,
2539,
2543,
2549,
2551,
2557,
2579,
2591,
2593,
2609,
2617,
2621,
2633,
2647,
2657,
2659,
2663,
2671,
2677,
2683,
2687,
2689,
2693,
2699,
2707,
2711,
2713,
2719,
2729,
2731,
2741,
2749,
2753,
2767,
2777,
2789,
2791,
2797,
2801,
2803,
2819,
2833,
2837,
2843,
2851,
2857,
2861,
2879,
2887,
2897,
2903,
2909,
2917,
2927,
2939,
2953,
2957,
2963,
2969,
2971,
2999,
3001,
3011,
3019,
3023,
3037,
3041,
3049,
3061,
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433,
7451,
7457,
7459,
7477,
7481,
7487,
7489,
7499,
7507,
7517,
7523,
7529,
7537,
7541,
7547,
7549,
7559,
7561,
7573,
7577,
7583,
7589,
7591,
7603,
7607,
7621,
7639,
7643,
7649,
7669,
7673,
7681,
7687,
7691,
7699,
7703,
7717,
7723,
7727,
7741,
7753,
7757,
7759,
7789,
7793,
7817,
7823,
7829,
7841,
7853,
7867,
7873,
7877,
7879,
7883,
7901,
7907,
7919,
7927,
7933,
7937,
7949,
7951,
7963,
7993,
8009,
8011,
8017,
8039,
8053,
8059,
8069,
8081,
8087,
8089,
8093,
8101,
8111,
8117,
8123,
8147,
8161,
8167,
8171,
8179,
8191,
8209,
8219,
8221,
8231,
8233,
8237,
8243,
8263,
8269,
8273,
8287,
8291,
8293,
8297,
8311,
8317,
8329,
8353,
8363,
8369,
8377,
8387,
8389,
8419,
8423,
8429,
8431,
8443,
8447,
8461,
8467,
8501,
8513,
8521,
8527,
8537,
8539,
8543,
8563,
8573,
8581,
8597,
8599,
8609,
8623,
8627,
8629,
8641,
8647,
8663,
8669,
8677,
8681,
8689,
8693,
8699,
8707,
8713,
8719,
8731,
8737,
8741,
8747,
8753,
8761,
8779,
8783,
8803,
8807,
8819,
8821,
8831,
8837,
8839,
8849,
8861,
8863,
8867,
8887,
8893,
8923,
8929
],
"solution": 996,
"source_dataset": "count_primes",
"source_index": 36,
"start": 628
}
|
Count how many prime numbers there are between 6978 and 8028 (inclusive) ?
|
113
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 8028,
"n": [
6978,
8028
],
"primes": [
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433,
7451,
7457,
7459,
7477,
7481,
7487,
7489,
7499,
7507,
7517,
7523,
7529,
7537,
7541,
7547,
7549,
7559,
7561,
7573,
7577,
7583,
7589,
7591,
7603,
7607,
7621,
7639,
7643,
7649,
7669,
7673,
7681,
7687,
7691,
7699,
7703,
7717,
7723,
7727,
7741,
7753,
7757,
7759,
7789,
7793,
7817,
7823,
7829,
7841,
7853,
7867,
7873,
7877,
7879,
7883,
7901,
7907,
7919,
7927,
7933,
7937,
7949,
7951,
7963,
7993,
8009,
8011,
8017
],
"solution": 113,
"source_dataset": "count_primes",
"source_index": 37,
"start": 6978
}
|
Count how many prime numbers there are between 6795 and 7370 (inclusive) ?
|
63
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 7370,
"n": [
6795,
7370
],
"primes": [
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369
],
"solution": 63,
"source_dataset": "count_primes",
"source_index": 38,
"start": 6795
}
|
Count how many prime numbers there are between 6867 and 9172 (inclusive) ?
|
253
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 9172,
"n": [
6867,
9172
],
"primes": [
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433,
7451,
7457,
7459,
7477,
7481,
7487,
7489,
7499,
7507,
7517,
7523,
7529,
7537,
7541,
7547,
7549,
7559,
7561,
7573,
7577,
7583,
7589,
7591,
7603,
7607,
7621,
7639,
7643,
7649,
7669,
7673,
7681,
7687,
7691,
7699,
7703,
7717,
7723,
7727,
7741,
7753,
7757,
7759,
7789,
7793,
7817,
7823,
7829,
7841,
7853,
7867,
7873,
7877,
7879,
7883,
7901,
7907,
7919,
7927,
7933,
7937,
7949,
7951,
7963,
7993,
8009,
8011,
8017,
8039,
8053,
8059,
8069,
8081,
8087,
8089,
8093,
8101,
8111,
8117,
8123,
8147,
8161,
8167,
8171,
8179,
8191,
8209,
8219,
8221,
8231,
8233,
8237,
8243,
8263,
8269,
8273,
8287,
8291,
8293,
8297,
8311,
8317,
8329,
8353,
8363,
8369,
8377,
8387,
8389,
8419,
8423,
8429,
8431,
8443,
8447,
8461,
8467,
8501,
8513,
8521,
8527,
8537,
8539,
8543,
8563,
8573,
8581,
8597,
8599,
8609,
8623,
8627,
8629,
8641,
8647,
8663,
8669,
8677,
8681,
8689,
8693,
8699,
8707,
8713,
8719,
8731,
8737,
8741,
8747,
8753,
8761,
8779,
8783,
8803,
8807,
8819,
8821,
8831,
8837,
8839,
8849,
8861,
8863,
8867,
8887,
8893,
8923,
8929,
8933,
8941,
8951,
8963,
8969,
8971,
8999,
9001,
9007,
9011,
9013,
9029,
9041,
9043,
9049,
9059,
9067,
9091,
9103,
9109,
9127,
9133,
9137,
9151,
9157,
9161
],
"solution": 253,
"source_dataset": "count_primes",
"source_index": 39,
"start": 6867
}
|
Count how many prime numbers there are between 835 and 3853 (inclusive) ?
|
390
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 3853,
"n": [
835,
3853
],
"primes": [
839,
853,
857,
859,
863,
877,
881,
883,
887,
907,
911,
919,
929,
937,
941,
947,
953,
967,
971,
977,
983,
991,
997,
1009,
1013,
1019,
1021,
1031,
1033,
1039,
1049,
1051,
1061,
1063,
1069,
1087,
1091,
1093,
1097,
1103,
1109,
1117,
1123,
1129,
1151,
1153,
1163,
1171,
1181,
1187,
1193,
1201,
1213,
1217,
1223,
1229,
1231,
1237,
1249,
1259,
1277,
1279,
1283,
1289,
1291,
1297,
1301,
1303,
1307,
1319,
1321,
1327,
1361,
1367,
1373,
1381,
1399,
1409,
1423,
1427,
1429,
1433,
1439,
1447,
1451,
1453,
1459,
1471,
1481,
1483,
1487,
1489,
1493,
1499,
1511,
1523,
1531,
1543,
1549,
1553,
1559,
1567,
1571,
1579,
1583,
1597,
1601,
1607,
1609,
1613,
1619,
1621,
1627,
1637,
1657,
1663,
1667,
1669,
1693,
1697,
1699,
1709,
1721,
1723,
1733,
1741,
1747,
1753,
1759,
1777,
1783,
1787,
1789,
1801,
1811,
1823,
1831,
1847,
1861,
1867,
1871,
1873,
1877,
1879,
1889,
1901,
1907,
1913,
1931,
1933,
1949,
1951,
1973,
1979,
1987,
1993,
1997,
1999,
2003,
2011,
2017,
2027,
2029,
2039,
2053,
2063,
2069,
2081,
2083,
2087,
2089,
2099,
2111,
2113,
2129,
2131,
2137,
2141,
2143,
2153,
2161,
2179,
2203,
2207,
2213,
2221,
2237,
2239,
2243,
2251,
2267,
2269,
2273,
2281,
2287,
2293,
2297,
2309,
2311,
2333,
2339,
2341,
2347,
2351,
2357,
2371,
2377,
2381,
2383,
2389,
2393,
2399,
2411,
2417,
2423,
2437,
2441,
2447,
2459,
2467,
2473,
2477,
2503,
2521,
2531,
2539,
2543,
2549,
2551,
2557,
2579,
2591,
2593,
2609,
2617,
2621,
2633,
2647,
2657,
2659,
2663,
2671,
2677,
2683,
2687,
2689,
2693,
2699,
2707,
2711,
2713,
2719,
2729,
2731,
2741,
2749,
2753,
2767,
2777,
2789,
2791,
2797,
2801,
2803,
2819,
2833,
2837,
2843,
2851,
2857,
2861,
2879,
2887,
2897,
2903,
2909,
2917,
2927,
2939,
2953,
2957,
2963,
2969,
2971,
2999,
3001,
3011,
3019,
3023,
3037,
3041,
3049,
3061,
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853
],
"solution": 390,
"source_dataset": "count_primes",
"source_index": 40,
"start": 835
}
|
Count how many prime numbers there are between 3093 and 3418 (inclusive) ?
|
38
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 3418,
"n": [
3093,
3418
],
"primes": [
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413
],
"solution": 38,
"source_dataset": "count_primes",
"source_index": 41,
"start": 3093
}
|
Count how many prime numbers there are between 2448 and 5461 (inclusive) ?
|
358
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 5461,
"n": [
2448,
5461
],
"primes": [
2459,
2467,
2473,
2477,
2503,
2521,
2531,
2539,
2543,
2549,
2551,
2557,
2579,
2591,
2593,
2609,
2617,
2621,
2633,
2647,
2657,
2659,
2663,
2671,
2677,
2683,
2687,
2689,
2693,
2699,
2707,
2711,
2713,
2719,
2729,
2731,
2741,
2749,
2753,
2767,
2777,
2789,
2791,
2797,
2801,
2803,
2819,
2833,
2837,
2843,
2851,
2857,
2861,
2879,
2887,
2897,
2903,
2909,
2917,
2927,
2939,
2953,
2957,
2963,
2969,
2971,
2999,
3001,
3011,
3019,
3023,
3037,
3041,
3049,
3061,
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449
],
"solution": 358,
"source_dataset": "count_primes",
"source_index": 42,
"start": 2448
}
|
Count how many prime numbers there are between 8070 and 9121 (inclusive) ?
|
116
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 9121,
"n": [
8070,
9121
],
"primes": [
8081,
8087,
8089,
8093,
8101,
8111,
8117,
8123,
8147,
8161,
8167,
8171,
8179,
8191,
8209,
8219,
8221,
8231,
8233,
8237,
8243,
8263,
8269,
8273,
8287,
8291,
8293,
8297,
8311,
8317,
8329,
8353,
8363,
8369,
8377,
8387,
8389,
8419,
8423,
8429,
8431,
8443,
8447,
8461,
8467,
8501,
8513,
8521,
8527,
8537,
8539,
8543,
8563,
8573,
8581,
8597,
8599,
8609,
8623,
8627,
8629,
8641,
8647,
8663,
8669,
8677,
8681,
8689,
8693,
8699,
8707,
8713,
8719,
8731,
8737,
8741,
8747,
8753,
8761,
8779,
8783,
8803,
8807,
8819,
8821,
8831,
8837,
8839,
8849,
8861,
8863,
8867,
8887,
8893,
8923,
8929,
8933,
8941,
8951,
8963,
8969,
8971,
8999,
9001,
9007,
9011,
9013,
9029,
9041,
9043,
9049,
9059,
9067,
9091,
9103,
9109
],
"solution": 116,
"source_dataset": "count_primes",
"source_index": 43,
"start": 8070
}
|
Count how many prime numbers there are between 8572 and 8675 (inclusive) ?
|
12
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 8675,
"n": [
8572,
8675
],
"primes": [
8573,
8581,
8597,
8599,
8609,
8623,
8627,
8629,
8641,
8647,
8663,
8669
],
"solution": 12,
"source_dataset": "count_primes",
"source_index": 44,
"start": 8572
}
|
Count how many prime numbers there are between 284 and 2093 (inclusive) ?
|
255
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 2093,
"n": [
284,
2093
],
"primes": [
293,
307,
311,
313,
317,
331,
337,
347,
349,
353,
359,
367,
373,
379,
383,
389,
397,
401,
409,
419,
421,
431,
433,
439,
443,
449,
457,
461,
463,
467,
479,
487,
491,
499,
503,
509,
521,
523,
541,
547,
557,
563,
569,
571,
577,
587,
593,
599,
601,
607,
613,
617,
619,
631,
641,
643,
647,
653,
659,
661,
673,
677,
683,
691,
701,
709,
719,
727,
733,
739,
743,
751,
757,
761,
769,
773,
787,
797,
809,
811,
821,
823,
827,
829,
839,
853,
857,
859,
863,
877,
881,
883,
887,
907,
911,
919,
929,
937,
941,
947,
953,
967,
971,
977,
983,
991,
997,
1009,
1013,
1019,
1021,
1031,
1033,
1039,
1049,
1051,
1061,
1063,
1069,
1087,
1091,
1093,
1097,
1103,
1109,
1117,
1123,
1129,
1151,
1153,
1163,
1171,
1181,
1187,
1193,
1201,
1213,
1217,
1223,
1229,
1231,
1237,
1249,
1259,
1277,
1279,
1283,
1289,
1291,
1297,
1301,
1303,
1307,
1319,
1321,
1327,
1361,
1367,
1373,
1381,
1399,
1409,
1423,
1427,
1429,
1433,
1439,
1447,
1451,
1453,
1459,
1471,
1481,
1483,
1487,
1489,
1493,
1499,
1511,
1523,
1531,
1543,
1549,
1553,
1559,
1567,
1571,
1579,
1583,
1597,
1601,
1607,
1609,
1613,
1619,
1621,
1627,
1637,
1657,
1663,
1667,
1669,
1693,
1697,
1699,
1709,
1721,
1723,
1733,
1741,
1747,
1753,
1759,
1777,
1783,
1787,
1789,
1801,
1811,
1823,
1831,
1847,
1861,
1867,
1871,
1873,
1877,
1879,
1889,
1901,
1907,
1913,
1931,
1933,
1949,
1951,
1973,
1979,
1987,
1993,
1997,
1999,
2003,
2011,
2017,
2027,
2029,
2039,
2053,
2063,
2069,
2081,
2083,
2087,
2089
],
"solution": 255,
"source_dataset": "count_primes",
"source_index": 45,
"start": 284
}
|
Count how many prime numbers there are between 1423 and 2740 (inclusive) ?
|
176
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 2740,
"n": [
1423,
2740
],
"primes": [
1423,
1427,
1429,
1433,
1439,
1447,
1451,
1453,
1459,
1471,
1481,
1483,
1487,
1489,
1493,
1499,
1511,
1523,
1531,
1543,
1549,
1553,
1559,
1567,
1571,
1579,
1583,
1597,
1601,
1607,
1609,
1613,
1619,
1621,
1627,
1637,
1657,
1663,
1667,
1669,
1693,
1697,
1699,
1709,
1721,
1723,
1733,
1741,
1747,
1753,
1759,
1777,
1783,
1787,
1789,
1801,
1811,
1823,
1831,
1847,
1861,
1867,
1871,
1873,
1877,
1879,
1889,
1901,
1907,
1913,
1931,
1933,
1949,
1951,
1973,
1979,
1987,
1993,
1997,
1999,
2003,
2011,
2017,
2027,
2029,
2039,
2053,
2063,
2069,
2081,
2083,
2087,
2089,
2099,
2111,
2113,
2129,
2131,
2137,
2141,
2143,
2153,
2161,
2179,
2203,
2207,
2213,
2221,
2237,
2239,
2243,
2251,
2267,
2269,
2273,
2281,
2287,
2293,
2297,
2309,
2311,
2333,
2339,
2341,
2347,
2351,
2357,
2371,
2377,
2381,
2383,
2389,
2393,
2399,
2411,
2417,
2423,
2437,
2441,
2447,
2459,
2467,
2473,
2477,
2503,
2521,
2531,
2539,
2543,
2549,
2551,
2557,
2579,
2591,
2593,
2609,
2617,
2621,
2633,
2647,
2657,
2659,
2663,
2671,
2677,
2683,
2687,
2689,
2693,
2699,
2707,
2711,
2713,
2719,
2729,
2731
],
"solution": 176,
"source_dataset": "count_primes",
"source_index": 46,
"start": 1423
}
|
Count how many prime numbers there are between 7936 and 8581 (inclusive) ?
|
67
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 8581,
"n": [
7936,
8581
],
"primes": [
7937,
7949,
7951,
7963,
7993,
8009,
8011,
8017,
8039,
8053,
8059,
8069,
8081,
8087,
8089,
8093,
8101,
8111,
8117,
8123,
8147,
8161,
8167,
8171,
8179,
8191,
8209,
8219,
8221,
8231,
8233,
8237,
8243,
8263,
8269,
8273,
8287,
8291,
8293,
8297,
8311,
8317,
8329,
8353,
8363,
8369,
8377,
8387,
8389,
8419,
8423,
8429,
8431,
8443,
8447,
8461,
8467,
8501,
8513,
8521,
8527,
8537,
8539,
8543,
8563,
8573,
8581
],
"solution": 67,
"source_dataset": "count_primes",
"source_index": 47,
"start": 7936
}
|
Count how many prime numbers there are between 2266 and 7468 (inclusive) ?
|
610
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 7468,
"n": [
2266,
7468
],
"primes": [
2267,
2269,
2273,
2281,
2287,
2293,
2297,
2309,
2311,
2333,
2339,
2341,
2347,
2351,
2357,
2371,
2377,
2381,
2383,
2389,
2393,
2399,
2411,
2417,
2423,
2437,
2441,
2447,
2459,
2467,
2473,
2477,
2503,
2521,
2531,
2539,
2543,
2549,
2551,
2557,
2579,
2591,
2593,
2609,
2617,
2621,
2633,
2647,
2657,
2659,
2663,
2671,
2677,
2683,
2687,
2689,
2693,
2699,
2707,
2711,
2713,
2719,
2729,
2731,
2741,
2749,
2753,
2767,
2777,
2789,
2791,
2797,
2801,
2803,
2819,
2833,
2837,
2843,
2851,
2857,
2861,
2879,
2887,
2897,
2903,
2909,
2917,
2927,
2939,
2953,
2957,
2963,
2969,
2971,
2999,
3001,
3011,
3019,
3023,
3037,
3041,
3049,
3061,
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433,
7451,
7457,
7459
],
"solution": 610,
"source_dataset": "count_primes",
"source_index": 48,
"start": 2266
}
|
Count how many prime numbers there are between 4110 and 8027 (inclusive) ?
|
445
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 8027,
"n": [
4110,
8027
],
"primes": [
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433,
7451,
7457,
7459,
7477,
7481,
7487,
7489,
7499,
7507,
7517,
7523,
7529,
7537,
7541,
7547,
7549,
7559,
7561,
7573,
7577,
7583,
7589,
7591,
7603,
7607,
7621,
7639,
7643,
7649,
7669,
7673,
7681,
7687,
7691,
7699,
7703,
7717,
7723,
7727,
7741,
7753,
7757,
7759,
7789,
7793,
7817,
7823,
7829,
7841,
7853,
7867,
7873,
7877,
7879,
7883,
7901,
7907,
7919,
7927,
7933,
7937,
7949,
7951,
7963,
7993,
8009,
8011,
8017
],
"solution": 445,
"source_dataset": "count_primes",
"source_index": 49,
"start": 4110
}
|
Count how many prime numbers there are between 3958 and 4170 (inclusive) ?
|
25
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 4170,
"n": [
3958,
4170
],
"primes": [
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159
],
"solution": 25,
"source_dataset": "count_primes",
"source_index": 50,
"start": 3958
}
|
Count how many prime numbers there are between 45 and 5665 (inclusive) ?
|
732
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 5665,
"n": [
45,
5665
],
"primes": [
47,
53,
59,
61,
67,
71,
73,
79,
83,
89,
97,
101,
103,
107,
109,
113,
127,
131,
137,
139,
149,
151,
157,
163,
167,
173,
179,
181,
191,
193,
197,
199,
211,
223,
227,
229,
233,
239,
241,
251,
257,
263,
269,
271,
277,
281,
283,
293,
307,
311,
313,
317,
331,
337,
347,
349,
353,
359,
367,
373,
379,
383,
389,
397,
401,
409,
419,
421,
431,
433,
439,
443,
449,
457,
461,
463,
467,
479,
487,
491,
499,
503,
509,
521,
523,
541,
547,
557,
563,
569,
571,
577,
587,
593,
599,
601,
607,
613,
617,
619,
631,
641,
643,
647,
653,
659,
661,
673,
677,
683,
691,
701,
709,
719,
727,
733,
739,
743,
751,
757,
761,
769,
773,
787,
797,
809,
811,
821,
823,
827,
829,
839,
853,
857,
859,
863,
877,
881,
883,
887,
907,
911,
919,
929,
937,
941,
947,
953,
967,
971,
977,
983,
991,
997,
1009,
1013,
1019,
1021,
1031,
1033,
1039,
1049,
1051,
1061,
1063,
1069,
1087,
1091,
1093,
1097,
1103,
1109,
1117,
1123,
1129,
1151,
1153,
1163,
1171,
1181,
1187,
1193,
1201,
1213,
1217,
1223,
1229,
1231,
1237,
1249,
1259,
1277,
1279,
1283,
1289,
1291,
1297,
1301,
1303,
1307,
1319,
1321,
1327,
1361,
1367,
1373,
1381,
1399,
1409,
1423,
1427,
1429,
1433,
1439,
1447,
1451,
1453,
1459,
1471,
1481,
1483,
1487,
1489,
1493,
1499,
1511,
1523,
1531,
1543,
1549,
1553,
1559,
1567,
1571,
1579,
1583,
1597,
1601,
1607,
1609,
1613,
1619,
1621,
1627,
1637,
1657,
1663,
1667,
1669,
1693,
1697,
1699,
1709,
1721,
1723,
1733,
1741,
1747,
1753,
1759,
1777,
1783,
1787,
1789,
1801,
1811,
1823,
1831,
1847,
1861,
1867,
1871,
1873,
1877,
1879,
1889,
1901,
1907,
1913,
1931,
1933,
1949,
1951,
1973,
1979,
1987,
1993,
1997,
1999,
2003,
2011,
2017,
2027,
2029,
2039,
2053,
2063,
2069,
2081,
2083,
2087,
2089,
2099,
2111,
2113,
2129,
2131,
2137,
2141,
2143,
2153,
2161,
2179,
2203,
2207,
2213,
2221,
2237,
2239,
2243,
2251,
2267,
2269,
2273,
2281,
2287,
2293,
2297,
2309,
2311,
2333,
2339,
2341,
2347,
2351,
2357,
2371,
2377,
2381,
2383,
2389,
2393,
2399,
2411,
2417,
2423,
2437,
2441,
2447,
2459,
2467,
2473,
2477,
2503,
2521,
2531,
2539,
2543,
2549,
2551,
2557,
2579,
2591,
2593,
2609,
2617,
2621,
2633,
2647,
2657,
2659,
2663,
2671,
2677,
2683,
2687,
2689,
2693,
2699,
2707,
2711,
2713,
2719,
2729,
2731,
2741,
2749,
2753,
2767,
2777,
2789,
2791,
2797,
2801,
2803,
2819,
2833,
2837,
2843,
2851,
2857,
2861,
2879,
2887,
2897,
2903,
2909,
2917,
2927,
2939,
2953,
2957,
2963,
2969,
2971,
2999,
3001,
3011,
3019,
3023,
3037,
3041,
3049,
3061,
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659
],
"solution": 732,
"source_dataset": "count_primes",
"source_index": 51,
"start": 45
}
|
Count how many prime numbers there are between 2792 and 6724 (inclusive) ?
|
461
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 6724,
"n": [
2792,
6724
],
"primes": [
2797,
2801,
2803,
2819,
2833,
2837,
2843,
2851,
2857,
2861,
2879,
2887,
2897,
2903,
2909,
2917,
2927,
2939,
2953,
2957,
2963,
2969,
2971,
2999,
3001,
3011,
3019,
3023,
3037,
3041,
3049,
3061,
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719
],
"solution": 461,
"source_dataset": "count_primes",
"source_index": 52,
"start": 2792
}
|
Count how many prime numbers there are between 6069 and 8633 (inclusive) ?
|
284
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 8633,
"n": [
6069,
8633
],
"primes": [
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433,
7451,
7457,
7459,
7477,
7481,
7487,
7489,
7499,
7507,
7517,
7523,
7529,
7537,
7541,
7547,
7549,
7559,
7561,
7573,
7577,
7583,
7589,
7591,
7603,
7607,
7621,
7639,
7643,
7649,
7669,
7673,
7681,
7687,
7691,
7699,
7703,
7717,
7723,
7727,
7741,
7753,
7757,
7759,
7789,
7793,
7817,
7823,
7829,
7841,
7853,
7867,
7873,
7877,
7879,
7883,
7901,
7907,
7919,
7927,
7933,
7937,
7949,
7951,
7963,
7993,
8009,
8011,
8017,
8039,
8053,
8059,
8069,
8081,
8087,
8089,
8093,
8101,
8111,
8117,
8123,
8147,
8161,
8167,
8171,
8179,
8191,
8209,
8219,
8221,
8231,
8233,
8237,
8243,
8263,
8269,
8273,
8287,
8291,
8293,
8297,
8311,
8317,
8329,
8353,
8363,
8369,
8377,
8387,
8389,
8419,
8423,
8429,
8431,
8443,
8447,
8461,
8467,
8501,
8513,
8521,
8527,
8537,
8539,
8543,
8563,
8573,
8581,
8597,
8599,
8609,
8623,
8627,
8629
],
"solution": 284,
"source_dataset": "count_primes",
"source_index": 53,
"start": 6069
}
|
Count how many prime numbers there are between 9 and 5418 (inclusive) ?
|
711
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 5418,
"n": [
9,
5418
],
"primes": [
11,
13,
17,
19,
23,
29,
31,
37,
41,
43,
47,
53,
59,
61,
67,
71,
73,
79,
83,
89,
97,
101,
103,
107,
109,
113,
127,
131,
137,
139,
149,
151,
157,
163,
167,
173,
179,
181,
191,
193,
197,
199,
211,
223,
227,
229,
233,
239,
241,
251,
257,
263,
269,
271,
277,
281,
283,
293,
307,
311,
313,
317,
331,
337,
347,
349,
353,
359,
367,
373,
379,
383,
389,
397,
401,
409,
419,
421,
431,
433,
439,
443,
449,
457,
461,
463,
467,
479,
487,
491,
499,
503,
509,
521,
523,
541,
547,
557,
563,
569,
571,
577,
587,
593,
599,
601,
607,
613,
617,
619,
631,
641,
643,
647,
653,
659,
661,
673,
677,
683,
691,
701,
709,
719,
727,
733,
739,
743,
751,
757,
761,
769,
773,
787,
797,
809,
811,
821,
823,
827,
829,
839,
853,
857,
859,
863,
877,
881,
883,
887,
907,
911,
919,
929,
937,
941,
947,
953,
967,
971,
977,
983,
991,
997,
1009,
1013,
1019,
1021,
1031,
1033,
1039,
1049,
1051,
1061,
1063,
1069,
1087,
1091,
1093,
1097,
1103,
1109,
1117,
1123,
1129,
1151,
1153,
1163,
1171,
1181,
1187,
1193,
1201,
1213,
1217,
1223,
1229,
1231,
1237,
1249,
1259,
1277,
1279,
1283,
1289,
1291,
1297,
1301,
1303,
1307,
1319,
1321,
1327,
1361,
1367,
1373,
1381,
1399,
1409,
1423,
1427,
1429,
1433,
1439,
1447,
1451,
1453,
1459,
1471,
1481,
1483,
1487,
1489,
1493,
1499,
1511,
1523,
1531,
1543,
1549,
1553,
1559,
1567,
1571,
1579,
1583,
1597,
1601,
1607,
1609,
1613,
1619,
1621,
1627,
1637,
1657,
1663,
1667,
1669,
1693,
1697,
1699,
1709,
1721,
1723,
1733,
1741,
1747,
1753,
1759,
1777,
1783,
1787,
1789,
1801,
1811,
1823,
1831,
1847,
1861,
1867,
1871,
1873,
1877,
1879,
1889,
1901,
1907,
1913,
1931,
1933,
1949,
1951,
1973,
1979,
1987,
1993,
1997,
1999,
2003,
2011,
2017,
2027,
2029,
2039,
2053,
2063,
2069,
2081,
2083,
2087,
2089,
2099,
2111,
2113,
2129,
2131,
2137,
2141,
2143,
2153,
2161,
2179,
2203,
2207,
2213,
2221,
2237,
2239,
2243,
2251,
2267,
2269,
2273,
2281,
2287,
2293,
2297,
2309,
2311,
2333,
2339,
2341,
2347,
2351,
2357,
2371,
2377,
2381,
2383,
2389,
2393,
2399,
2411,
2417,
2423,
2437,
2441,
2447,
2459,
2467,
2473,
2477,
2503,
2521,
2531,
2539,
2543,
2549,
2551,
2557,
2579,
2591,
2593,
2609,
2617,
2621,
2633,
2647,
2657,
2659,
2663,
2671,
2677,
2683,
2687,
2689,
2693,
2699,
2707,
2711,
2713,
2719,
2729,
2731,
2741,
2749,
2753,
2767,
2777,
2789,
2791,
2797,
2801,
2803,
2819,
2833,
2837,
2843,
2851,
2857,
2861,
2879,
2887,
2897,
2903,
2909,
2917,
2927,
2939,
2953,
2957,
2963,
2969,
2971,
2999,
3001,
3011,
3019,
3023,
3037,
3041,
3049,
3061,
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417
],
"solution": 711,
"source_dataset": "count_primes",
"source_index": 54,
"start": 9
}
|
Count how many prime numbers there are between 4277 and 9913 (inclusive) ?
|
635
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 9913,
"n": [
4277,
9913
],
"primes": [
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433,
7451,
7457,
7459,
7477,
7481,
7487,
7489,
7499,
7507,
7517,
7523,
7529,
7537,
7541,
7547,
7549,
7559,
7561,
7573,
7577,
7583,
7589,
7591,
7603,
7607,
7621,
7639,
7643,
7649,
7669,
7673,
7681,
7687,
7691,
7699,
7703,
7717,
7723,
7727,
7741,
7753,
7757,
7759,
7789,
7793,
7817,
7823,
7829,
7841,
7853,
7867,
7873,
7877,
7879,
7883,
7901,
7907,
7919,
7927,
7933,
7937,
7949,
7951,
7963,
7993,
8009,
8011,
8017,
8039,
8053,
8059,
8069,
8081,
8087,
8089,
8093,
8101,
8111,
8117,
8123,
8147,
8161,
8167,
8171,
8179,
8191,
8209,
8219,
8221,
8231,
8233,
8237,
8243,
8263,
8269,
8273,
8287,
8291,
8293,
8297,
8311,
8317,
8329,
8353,
8363,
8369,
8377,
8387,
8389,
8419,
8423,
8429,
8431,
8443,
8447,
8461,
8467,
8501,
8513,
8521,
8527,
8537,
8539,
8543,
8563,
8573,
8581,
8597,
8599,
8609,
8623,
8627,
8629,
8641,
8647,
8663,
8669,
8677,
8681,
8689,
8693,
8699,
8707,
8713,
8719,
8731,
8737,
8741,
8747,
8753,
8761,
8779,
8783,
8803,
8807,
8819,
8821,
8831,
8837,
8839,
8849,
8861,
8863,
8867,
8887,
8893,
8923,
8929,
8933,
8941,
8951,
8963,
8969,
8971,
8999,
9001,
9007,
9011,
9013,
9029,
9041,
9043,
9049,
9059,
9067,
9091,
9103,
9109,
9127,
9133,
9137,
9151,
9157,
9161,
9173,
9181,
9187,
9199,
9203,
9209,
9221,
9227,
9239,
9241,
9257,
9277,
9281,
9283,
9293,
9311,
9319,
9323,
9337,
9341,
9343,
9349,
9371,
9377,
9391,
9397,
9403,
9413,
9419,
9421,
9431,
9433,
9437,
9439,
9461,
9463,
9467,
9473,
9479,
9491,
9497,
9511,
9521,
9533,
9539,
9547,
9551,
9587,
9601,
9613,
9619,
9623,
9629,
9631,
9643,
9649,
9661,
9677,
9679,
9689,
9697,
9719,
9721,
9733,
9739,
9743,
9749,
9767,
9769,
9781,
9787,
9791,
9803,
9811,
9817,
9829,
9833,
9839,
9851,
9857,
9859,
9871,
9883,
9887,
9901,
9907
],
"solution": 635,
"source_dataset": "count_primes",
"source_index": 55,
"start": 4277
}
|
Count how many prime numbers there are between 3531 and 7435 (inclusive) ?
|
449
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 7435,
"n": [
3531,
7435
],
"primes": [
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433
],
"solution": 449,
"source_dataset": "count_primes",
"source_index": 56,
"start": 3531
}
|
Count how many prime numbers there are between 1712 and 4501 (inclusive) ?
|
343
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 4501,
"n": [
1712,
4501
],
"primes": [
1721,
1723,
1733,
1741,
1747,
1753,
1759,
1777,
1783,
1787,
1789,
1801,
1811,
1823,
1831,
1847,
1861,
1867,
1871,
1873,
1877,
1879,
1889,
1901,
1907,
1913,
1931,
1933,
1949,
1951,
1973,
1979,
1987,
1993,
1997,
1999,
2003,
2011,
2017,
2027,
2029,
2039,
2053,
2063,
2069,
2081,
2083,
2087,
2089,
2099,
2111,
2113,
2129,
2131,
2137,
2141,
2143,
2153,
2161,
2179,
2203,
2207,
2213,
2221,
2237,
2239,
2243,
2251,
2267,
2269,
2273,
2281,
2287,
2293,
2297,
2309,
2311,
2333,
2339,
2341,
2347,
2351,
2357,
2371,
2377,
2381,
2383,
2389,
2393,
2399,
2411,
2417,
2423,
2437,
2441,
2447,
2459,
2467,
2473,
2477,
2503,
2521,
2531,
2539,
2543,
2549,
2551,
2557,
2579,
2591,
2593,
2609,
2617,
2621,
2633,
2647,
2657,
2659,
2663,
2671,
2677,
2683,
2687,
2689,
2693,
2699,
2707,
2711,
2713,
2719,
2729,
2731,
2741,
2749,
2753,
2767,
2777,
2789,
2791,
2797,
2801,
2803,
2819,
2833,
2837,
2843,
2851,
2857,
2861,
2879,
2887,
2897,
2903,
2909,
2917,
2927,
2939,
2953,
2957,
2963,
2969,
2971,
2999,
3001,
3011,
3019,
3023,
3037,
3041,
3049,
3061,
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493
],
"solution": 343,
"source_dataset": "count_primes",
"source_index": 57,
"start": 1712
}
|
Count how many prime numbers there are between 909 and 7883 (inclusive) ?
|
842
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 7883,
"n": [
909,
7883
],
"primes": [
911,
919,
929,
937,
941,
947,
953,
967,
971,
977,
983,
991,
997,
1009,
1013,
1019,
1021,
1031,
1033,
1039,
1049,
1051,
1061,
1063,
1069,
1087,
1091,
1093,
1097,
1103,
1109,
1117,
1123,
1129,
1151,
1153,
1163,
1171,
1181,
1187,
1193,
1201,
1213,
1217,
1223,
1229,
1231,
1237,
1249,
1259,
1277,
1279,
1283,
1289,
1291,
1297,
1301,
1303,
1307,
1319,
1321,
1327,
1361,
1367,
1373,
1381,
1399,
1409,
1423,
1427,
1429,
1433,
1439,
1447,
1451,
1453,
1459,
1471,
1481,
1483,
1487,
1489,
1493,
1499,
1511,
1523,
1531,
1543,
1549,
1553,
1559,
1567,
1571,
1579,
1583,
1597,
1601,
1607,
1609,
1613,
1619,
1621,
1627,
1637,
1657,
1663,
1667,
1669,
1693,
1697,
1699,
1709,
1721,
1723,
1733,
1741,
1747,
1753,
1759,
1777,
1783,
1787,
1789,
1801,
1811,
1823,
1831,
1847,
1861,
1867,
1871,
1873,
1877,
1879,
1889,
1901,
1907,
1913,
1931,
1933,
1949,
1951,
1973,
1979,
1987,
1993,
1997,
1999,
2003,
2011,
2017,
2027,
2029,
2039,
2053,
2063,
2069,
2081,
2083,
2087,
2089,
2099,
2111,
2113,
2129,
2131,
2137,
2141,
2143,
2153,
2161,
2179,
2203,
2207,
2213,
2221,
2237,
2239,
2243,
2251,
2267,
2269,
2273,
2281,
2287,
2293,
2297,
2309,
2311,
2333,
2339,
2341,
2347,
2351,
2357,
2371,
2377,
2381,
2383,
2389,
2393,
2399,
2411,
2417,
2423,
2437,
2441,
2447,
2459,
2467,
2473,
2477,
2503,
2521,
2531,
2539,
2543,
2549,
2551,
2557,
2579,
2591,
2593,
2609,
2617,
2621,
2633,
2647,
2657,
2659,
2663,
2671,
2677,
2683,
2687,
2689,
2693,
2699,
2707,
2711,
2713,
2719,
2729,
2731,
2741,
2749,
2753,
2767,
2777,
2789,
2791,
2797,
2801,
2803,
2819,
2833,
2837,
2843,
2851,
2857,
2861,
2879,
2887,
2897,
2903,
2909,
2917,
2927,
2939,
2953,
2957,
2963,
2969,
2971,
2999,
3001,
3011,
3019,
3023,
3037,
3041,
3049,
3061,
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433,
7451,
7457,
7459,
7477,
7481,
7487,
7489,
7499,
7507,
7517,
7523,
7529,
7537,
7541,
7547,
7549,
7559,
7561,
7573,
7577,
7583,
7589,
7591,
7603,
7607,
7621,
7639,
7643,
7649,
7669,
7673,
7681,
7687,
7691,
7699,
7703,
7717,
7723,
7727,
7741,
7753,
7757,
7759,
7789,
7793,
7817,
7823,
7829,
7841,
7853,
7867,
7873,
7877,
7879,
7883
],
"solution": 842,
"source_dataset": "count_primes",
"source_index": 58,
"start": 909
}
|
Count how many prime numbers there are between 3067 and 7918 (inclusive) ?
|
561
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 7918,
"n": [
3067,
7918
],
"primes": [
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433,
7451,
7457,
7459,
7477,
7481,
7487,
7489,
7499,
7507,
7517,
7523,
7529,
7537,
7541,
7547,
7549,
7559,
7561,
7573,
7577,
7583,
7589,
7591,
7603,
7607,
7621,
7639,
7643,
7649,
7669,
7673,
7681,
7687,
7691,
7699,
7703,
7717,
7723,
7727,
7741,
7753,
7757,
7759,
7789,
7793,
7817,
7823,
7829,
7841,
7853,
7867,
7873,
7877,
7879,
7883,
7901,
7907
],
"solution": 561,
"source_dataset": "count_primes",
"source_index": 59,
"start": 3067
}
|
Count how many prime numbers there are between 3086 and 9334 (inclusive) ?
|
713
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 9334,
"n": [
3086,
9334
],
"primes": [
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433,
7451,
7457,
7459,
7477,
7481,
7487,
7489,
7499,
7507,
7517,
7523,
7529,
7537,
7541,
7547,
7549,
7559,
7561,
7573,
7577,
7583,
7589,
7591,
7603,
7607,
7621,
7639,
7643,
7649,
7669,
7673,
7681,
7687,
7691,
7699,
7703,
7717,
7723,
7727,
7741,
7753,
7757,
7759,
7789,
7793,
7817,
7823,
7829,
7841,
7853,
7867,
7873,
7877,
7879,
7883,
7901,
7907,
7919,
7927,
7933,
7937,
7949,
7951,
7963,
7993,
8009,
8011,
8017,
8039,
8053,
8059,
8069,
8081,
8087,
8089,
8093,
8101,
8111,
8117,
8123,
8147,
8161,
8167,
8171,
8179,
8191,
8209,
8219,
8221,
8231,
8233,
8237,
8243,
8263,
8269,
8273,
8287,
8291,
8293,
8297,
8311,
8317,
8329,
8353,
8363,
8369,
8377,
8387,
8389,
8419,
8423,
8429,
8431,
8443,
8447,
8461,
8467,
8501,
8513,
8521,
8527,
8537,
8539,
8543,
8563,
8573,
8581,
8597,
8599,
8609,
8623,
8627,
8629,
8641,
8647,
8663,
8669,
8677,
8681,
8689,
8693,
8699,
8707,
8713,
8719,
8731,
8737,
8741,
8747,
8753,
8761,
8779,
8783,
8803,
8807,
8819,
8821,
8831,
8837,
8839,
8849,
8861,
8863,
8867,
8887,
8893,
8923,
8929,
8933,
8941,
8951,
8963,
8969,
8971,
8999,
9001,
9007,
9011,
9013,
9029,
9041,
9043,
9049,
9059,
9067,
9091,
9103,
9109,
9127,
9133,
9137,
9151,
9157,
9161,
9173,
9181,
9187,
9199,
9203,
9209,
9221,
9227,
9239,
9241,
9257,
9277,
9281,
9283,
9293,
9311,
9319,
9323
],
"solution": 713,
"source_dataset": "count_primes",
"source_index": 60,
"start": 3086
}
|
Count how many prime numbers there are between 1198 and 5875 (inclusive) ?
|
577
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 5875,
"n": [
1198,
5875
],
"primes": [
1201,
1213,
1217,
1223,
1229,
1231,
1237,
1249,
1259,
1277,
1279,
1283,
1289,
1291,
1297,
1301,
1303,
1307,
1319,
1321,
1327,
1361,
1367,
1373,
1381,
1399,
1409,
1423,
1427,
1429,
1433,
1439,
1447,
1451,
1453,
1459,
1471,
1481,
1483,
1487,
1489,
1493,
1499,
1511,
1523,
1531,
1543,
1549,
1553,
1559,
1567,
1571,
1579,
1583,
1597,
1601,
1607,
1609,
1613,
1619,
1621,
1627,
1637,
1657,
1663,
1667,
1669,
1693,
1697,
1699,
1709,
1721,
1723,
1733,
1741,
1747,
1753,
1759,
1777,
1783,
1787,
1789,
1801,
1811,
1823,
1831,
1847,
1861,
1867,
1871,
1873,
1877,
1879,
1889,
1901,
1907,
1913,
1931,
1933,
1949,
1951,
1973,
1979,
1987,
1993,
1997,
1999,
2003,
2011,
2017,
2027,
2029,
2039,
2053,
2063,
2069,
2081,
2083,
2087,
2089,
2099,
2111,
2113,
2129,
2131,
2137,
2141,
2143,
2153,
2161,
2179,
2203,
2207,
2213,
2221,
2237,
2239,
2243,
2251,
2267,
2269,
2273,
2281,
2287,
2293,
2297,
2309,
2311,
2333,
2339,
2341,
2347,
2351,
2357,
2371,
2377,
2381,
2383,
2389,
2393,
2399,
2411,
2417,
2423,
2437,
2441,
2447,
2459,
2467,
2473,
2477,
2503,
2521,
2531,
2539,
2543,
2549,
2551,
2557,
2579,
2591,
2593,
2609,
2617,
2621,
2633,
2647,
2657,
2659,
2663,
2671,
2677,
2683,
2687,
2689,
2693,
2699,
2707,
2711,
2713,
2719,
2729,
2731,
2741,
2749,
2753,
2767,
2777,
2789,
2791,
2797,
2801,
2803,
2819,
2833,
2837,
2843,
2851,
2857,
2861,
2879,
2887,
2897,
2903,
2909,
2917,
2927,
2939,
2953,
2957,
2963,
2969,
2971,
2999,
3001,
3011,
3019,
3023,
3037,
3041,
3049,
3061,
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869
],
"solution": 577,
"source_dataset": "count_primes",
"source_index": 61,
"start": 1198
}
|
Count how many prime numbers there are between 2899 and 7432 (inclusive) ?
|
522
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 7432,
"n": [
2899,
7432
],
"primes": [
2903,
2909,
2917,
2927,
2939,
2953,
2957,
2963,
2969,
2971,
2999,
3001,
3011,
3019,
3023,
3037,
3041,
3049,
3061,
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417
],
"solution": 522,
"source_dataset": "count_primes",
"source_index": 62,
"start": 2899
}
|
Count how many prime numbers there are between 5447 and 6526 (inclusive) ?
|
123
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 6526,
"n": [
5447,
6526
],
"primes": [
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521
],
"solution": 123,
"source_dataset": "count_primes",
"source_index": 63,
"start": 5447
}
|
Count how many prime numbers there are between 4505 and 5014 (inclusive) ?
|
62
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 5014,
"n": [
4505,
5014
],
"primes": [
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011
],
"solution": 62,
"source_dataset": "count_primes",
"source_index": 64,
"start": 4505
}
|
Count how many prime numbers there are between 4753 and 8820 (inclusive) ?
|
458
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 8820,
"n": [
4753,
8820
],
"primes": [
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433,
7451,
7457,
7459,
7477,
7481,
7487,
7489,
7499,
7507,
7517,
7523,
7529,
7537,
7541,
7547,
7549,
7559,
7561,
7573,
7577,
7583,
7589,
7591,
7603,
7607,
7621,
7639,
7643,
7649,
7669,
7673,
7681,
7687,
7691,
7699,
7703,
7717,
7723,
7727,
7741,
7753,
7757,
7759,
7789,
7793,
7817,
7823,
7829,
7841,
7853,
7867,
7873,
7877,
7879,
7883,
7901,
7907,
7919,
7927,
7933,
7937,
7949,
7951,
7963,
7993,
8009,
8011,
8017,
8039,
8053,
8059,
8069,
8081,
8087,
8089,
8093,
8101,
8111,
8117,
8123,
8147,
8161,
8167,
8171,
8179,
8191,
8209,
8219,
8221,
8231,
8233,
8237,
8243,
8263,
8269,
8273,
8287,
8291,
8293,
8297,
8311,
8317,
8329,
8353,
8363,
8369,
8377,
8387,
8389,
8419,
8423,
8429,
8431,
8443,
8447,
8461,
8467,
8501,
8513,
8521,
8527,
8537,
8539,
8543,
8563,
8573,
8581,
8597,
8599,
8609,
8623,
8627,
8629,
8641,
8647,
8663,
8669,
8677,
8681,
8689,
8693,
8699,
8707,
8713,
8719,
8731,
8737,
8741,
8747,
8753,
8761,
8779,
8783,
8803,
8807,
8819
],
"solution": 458,
"source_dataset": "count_primes",
"source_index": 65,
"start": 4753
}
|
Count how many prime numbers there are between 713 and 3995 (inclusive) ?
|
423
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 3995,
"n": [
713,
3995
],
"primes": [
719,
727,
733,
739,
743,
751,
757,
761,
769,
773,
787,
797,
809,
811,
821,
823,
827,
829,
839,
853,
857,
859,
863,
877,
881,
883,
887,
907,
911,
919,
929,
937,
941,
947,
953,
967,
971,
977,
983,
991,
997,
1009,
1013,
1019,
1021,
1031,
1033,
1039,
1049,
1051,
1061,
1063,
1069,
1087,
1091,
1093,
1097,
1103,
1109,
1117,
1123,
1129,
1151,
1153,
1163,
1171,
1181,
1187,
1193,
1201,
1213,
1217,
1223,
1229,
1231,
1237,
1249,
1259,
1277,
1279,
1283,
1289,
1291,
1297,
1301,
1303,
1307,
1319,
1321,
1327,
1361,
1367,
1373,
1381,
1399,
1409,
1423,
1427,
1429,
1433,
1439,
1447,
1451,
1453,
1459,
1471,
1481,
1483,
1487,
1489,
1493,
1499,
1511,
1523,
1531,
1543,
1549,
1553,
1559,
1567,
1571,
1579,
1583,
1597,
1601,
1607,
1609,
1613,
1619,
1621,
1627,
1637,
1657,
1663,
1667,
1669,
1693,
1697,
1699,
1709,
1721,
1723,
1733,
1741,
1747,
1753,
1759,
1777,
1783,
1787,
1789,
1801,
1811,
1823,
1831,
1847,
1861,
1867,
1871,
1873,
1877,
1879,
1889,
1901,
1907,
1913,
1931,
1933,
1949,
1951,
1973,
1979,
1987,
1993,
1997,
1999,
2003,
2011,
2017,
2027,
2029,
2039,
2053,
2063,
2069,
2081,
2083,
2087,
2089,
2099,
2111,
2113,
2129,
2131,
2137,
2141,
2143,
2153,
2161,
2179,
2203,
2207,
2213,
2221,
2237,
2239,
2243,
2251,
2267,
2269,
2273,
2281,
2287,
2293,
2297,
2309,
2311,
2333,
2339,
2341,
2347,
2351,
2357,
2371,
2377,
2381,
2383,
2389,
2393,
2399,
2411,
2417,
2423,
2437,
2441,
2447,
2459,
2467,
2473,
2477,
2503,
2521,
2531,
2539,
2543,
2549,
2551,
2557,
2579,
2591,
2593,
2609,
2617,
2621,
2633,
2647,
2657,
2659,
2663,
2671,
2677,
2683,
2687,
2689,
2693,
2699,
2707,
2711,
2713,
2719,
2729,
2731,
2741,
2749,
2753,
2767,
2777,
2789,
2791,
2797,
2801,
2803,
2819,
2833,
2837,
2843,
2851,
2857,
2861,
2879,
2887,
2897,
2903,
2909,
2917,
2927,
2939,
2953,
2957,
2963,
2969,
2971,
2999,
3001,
3011,
3019,
3023,
3037,
3041,
3049,
3061,
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989
],
"solution": 423,
"source_dataset": "count_primes",
"source_index": 66,
"start": 713
}
|
Count how many prime numbers there are between 3495 and 9658 (inclusive) ?
|
704
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 9658,
"n": [
3495,
9658
],
"primes": [
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433,
7451,
7457,
7459,
7477,
7481,
7487,
7489,
7499,
7507,
7517,
7523,
7529,
7537,
7541,
7547,
7549,
7559,
7561,
7573,
7577,
7583,
7589,
7591,
7603,
7607,
7621,
7639,
7643,
7649,
7669,
7673,
7681,
7687,
7691,
7699,
7703,
7717,
7723,
7727,
7741,
7753,
7757,
7759,
7789,
7793,
7817,
7823,
7829,
7841,
7853,
7867,
7873,
7877,
7879,
7883,
7901,
7907,
7919,
7927,
7933,
7937,
7949,
7951,
7963,
7993,
8009,
8011,
8017,
8039,
8053,
8059,
8069,
8081,
8087,
8089,
8093,
8101,
8111,
8117,
8123,
8147,
8161,
8167,
8171,
8179,
8191,
8209,
8219,
8221,
8231,
8233,
8237,
8243,
8263,
8269,
8273,
8287,
8291,
8293,
8297,
8311,
8317,
8329,
8353,
8363,
8369,
8377,
8387,
8389,
8419,
8423,
8429,
8431,
8443,
8447,
8461,
8467,
8501,
8513,
8521,
8527,
8537,
8539,
8543,
8563,
8573,
8581,
8597,
8599,
8609,
8623,
8627,
8629,
8641,
8647,
8663,
8669,
8677,
8681,
8689,
8693,
8699,
8707,
8713,
8719,
8731,
8737,
8741,
8747,
8753,
8761,
8779,
8783,
8803,
8807,
8819,
8821,
8831,
8837,
8839,
8849,
8861,
8863,
8867,
8887,
8893,
8923,
8929,
8933,
8941,
8951,
8963,
8969,
8971,
8999,
9001,
9007,
9011,
9013,
9029,
9041,
9043,
9049,
9059,
9067,
9091,
9103,
9109,
9127,
9133,
9137,
9151,
9157,
9161,
9173,
9181,
9187,
9199,
9203,
9209,
9221,
9227,
9239,
9241,
9257,
9277,
9281,
9283,
9293,
9311,
9319,
9323,
9337,
9341,
9343,
9349,
9371,
9377,
9391,
9397,
9403,
9413,
9419,
9421,
9431,
9433,
9437,
9439,
9461,
9463,
9467,
9473,
9479,
9491,
9497,
9511,
9521,
9533,
9539,
9547,
9551,
9587,
9601,
9613,
9619,
9623,
9629,
9631,
9643,
9649
],
"solution": 704,
"source_dataset": "count_primes",
"source_index": 67,
"start": 3495
}
|
Count how many prime numbers there are between 7496 and 8051 (inclusive) ?
|
62
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 8051,
"n": [
7496,
8051
],
"primes": [
7499,
7507,
7517,
7523,
7529,
7537,
7541,
7547,
7549,
7559,
7561,
7573,
7577,
7583,
7589,
7591,
7603,
7607,
7621,
7639,
7643,
7649,
7669,
7673,
7681,
7687,
7691,
7699,
7703,
7717,
7723,
7727,
7741,
7753,
7757,
7759,
7789,
7793,
7817,
7823,
7829,
7841,
7853,
7867,
7873,
7877,
7879,
7883,
7901,
7907,
7919,
7927,
7933,
7937,
7949,
7951,
7963,
7993,
8009,
8011,
8017,
8039
],
"solution": 62,
"source_dataset": "count_primes",
"source_index": 68,
"start": 7496
}
|
Count how many prime numbers there are between 3801 and 7907 (inclusive) ?
|
471
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 7907,
"n": [
3801,
7907
],
"primes": [
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433,
7451,
7457,
7459,
7477,
7481,
7487,
7489,
7499,
7507,
7517,
7523,
7529,
7537,
7541,
7547,
7549,
7559,
7561,
7573,
7577,
7583,
7589,
7591,
7603,
7607,
7621,
7639,
7643,
7649,
7669,
7673,
7681,
7687,
7691,
7699,
7703,
7717,
7723,
7727,
7741,
7753,
7757,
7759,
7789,
7793,
7817,
7823,
7829,
7841,
7853,
7867,
7873,
7877,
7879,
7883,
7901,
7907
],
"solution": 471,
"source_dataset": "count_primes",
"source_index": 69,
"start": 3801
}
|
Count how many prime numbers there are between 1494 and 4390 (inclusive) ?
|
359
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 4390,
"n": [
1494,
4390
],
"primes": [
1499,
1511,
1523,
1531,
1543,
1549,
1553,
1559,
1567,
1571,
1579,
1583,
1597,
1601,
1607,
1609,
1613,
1619,
1621,
1627,
1637,
1657,
1663,
1667,
1669,
1693,
1697,
1699,
1709,
1721,
1723,
1733,
1741,
1747,
1753,
1759,
1777,
1783,
1787,
1789,
1801,
1811,
1823,
1831,
1847,
1861,
1867,
1871,
1873,
1877,
1879,
1889,
1901,
1907,
1913,
1931,
1933,
1949,
1951,
1973,
1979,
1987,
1993,
1997,
1999,
2003,
2011,
2017,
2027,
2029,
2039,
2053,
2063,
2069,
2081,
2083,
2087,
2089,
2099,
2111,
2113,
2129,
2131,
2137,
2141,
2143,
2153,
2161,
2179,
2203,
2207,
2213,
2221,
2237,
2239,
2243,
2251,
2267,
2269,
2273,
2281,
2287,
2293,
2297,
2309,
2311,
2333,
2339,
2341,
2347,
2351,
2357,
2371,
2377,
2381,
2383,
2389,
2393,
2399,
2411,
2417,
2423,
2437,
2441,
2447,
2459,
2467,
2473,
2477,
2503,
2521,
2531,
2539,
2543,
2549,
2551,
2557,
2579,
2591,
2593,
2609,
2617,
2621,
2633,
2647,
2657,
2659,
2663,
2671,
2677,
2683,
2687,
2689,
2693,
2699,
2707,
2711,
2713,
2719,
2729,
2731,
2741,
2749,
2753,
2767,
2777,
2789,
2791,
2797,
2801,
2803,
2819,
2833,
2837,
2843,
2851,
2857,
2861,
2879,
2887,
2897,
2903,
2909,
2917,
2927,
2939,
2953,
2957,
2963,
2969,
2971,
2999,
3001,
3011,
3019,
3023,
3037,
3041,
3049,
3061,
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373
],
"solution": 359,
"source_dataset": "count_primes",
"source_index": 70,
"start": 1494
}
|
Count how many prime numbers there are between 4864 and 8771 (inclusive) ?
|
442
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 8771,
"n": [
4864,
8771
],
"primes": [
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433,
7451,
7457,
7459,
7477,
7481,
7487,
7489,
7499,
7507,
7517,
7523,
7529,
7537,
7541,
7547,
7549,
7559,
7561,
7573,
7577,
7583,
7589,
7591,
7603,
7607,
7621,
7639,
7643,
7649,
7669,
7673,
7681,
7687,
7691,
7699,
7703,
7717,
7723,
7727,
7741,
7753,
7757,
7759,
7789,
7793,
7817,
7823,
7829,
7841,
7853,
7867,
7873,
7877,
7879,
7883,
7901,
7907,
7919,
7927,
7933,
7937,
7949,
7951,
7963,
7993,
8009,
8011,
8017,
8039,
8053,
8059,
8069,
8081,
8087,
8089,
8093,
8101,
8111,
8117,
8123,
8147,
8161,
8167,
8171,
8179,
8191,
8209,
8219,
8221,
8231,
8233,
8237,
8243,
8263,
8269,
8273,
8287,
8291,
8293,
8297,
8311,
8317,
8329,
8353,
8363,
8369,
8377,
8387,
8389,
8419,
8423,
8429,
8431,
8443,
8447,
8461,
8467,
8501,
8513,
8521,
8527,
8537,
8539,
8543,
8563,
8573,
8581,
8597,
8599,
8609,
8623,
8627,
8629,
8641,
8647,
8663,
8669,
8677,
8681,
8689,
8693,
8699,
8707,
8713,
8719,
8731,
8737,
8741,
8747,
8753,
8761
],
"solution": 442,
"source_dataset": "count_primes",
"source_index": 71,
"start": 4864
}
|
Count how many prime numbers there are between 3254 and 6359 (inclusive) ?
|
369
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 6359,
"n": [
3254,
6359
],
"primes": [
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359
],
"solution": 369,
"source_dataset": "count_primes",
"source_index": 72,
"start": 3254
}
|
Count how many prime numbers there are between 3125 and 6254 (inclusive) ?
|
367
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 6254,
"n": [
3125,
6254
],
"primes": [
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247
],
"solution": 367,
"source_dataset": "count_primes",
"source_index": 73,
"start": 3125
}
|
Count how many prime numbers there are between 1081 and 8657 (inclusive) ?
|
897
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 8657,
"n": [
1081,
8657
],
"primes": [
1087,
1091,
1093,
1097,
1103,
1109,
1117,
1123,
1129,
1151,
1153,
1163,
1171,
1181,
1187,
1193,
1201,
1213,
1217,
1223,
1229,
1231,
1237,
1249,
1259,
1277,
1279,
1283,
1289,
1291,
1297,
1301,
1303,
1307,
1319,
1321,
1327,
1361,
1367,
1373,
1381,
1399,
1409,
1423,
1427,
1429,
1433,
1439,
1447,
1451,
1453,
1459,
1471,
1481,
1483,
1487,
1489,
1493,
1499,
1511,
1523,
1531,
1543,
1549,
1553,
1559,
1567,
1571,
1579,
1583,
1597,
1601,
1607,
1609,
1613,
1619,
1621,
1627,
1637,
1657,
1663,
1667,
1669,
1693,
1697,
1699,
1709,
1721,
1723,
1733,
1741,
1747,
1753,
1759,
1777,
1783,
1787,
1789,
1801,
1811,
1823,
1831,
1847,
1861,
1867,
1871,
1873,
1877,
1879,
1889,
1901,
1907,
1913,
1931,
1933,
1949,
1951,
1973,
1979,
1987,
1993,
1997,
1999,
2003,
2011,
2017,
2027,
2029,
2039,
2053,
2063,
2069,
2081,
2083,
2087,
2089,
2099,
2111,
2113,
2129,
2131,
2137,
2141,
2143,
2153,
2161,
2179,
2203,
2207,
2213,
2221,
2237,
2239,
2243,
2251,
2267,
2269,
2273,
2281,
2287,
2293,
2297,
2309,
2311,
2333,
2339,
2341,
2347,
2351,
2357,
2371,
2377,
2381,
2383,
2389,
2393,
2399,
2411,
2417,
2423,
2437,
2441,
2447,
2459,
2467,
2473,
2477,
2503,
2521,
2531,
2539,
2543,
2549,
2551,
2557,
2579,
2591,
2593,
2609,
2617,
2621,
2633,
2647,
2657,
2659,
2663,
2671,
2677,
2683,
2687,
2689,
2693,
2699,
2707,
2711,
2713,
2719,
2729,
2731,
2741,
2749,
2753,
2767,
2777,
2789,
2791,
2797,
2801,
2803,
2819,
2833,
2837,
2843,
2851,
2857,
2861,
2879,
2887,
2897,
2903,
2909,
2917,
2927,
2939,
2953,
2957,
2963,
2969,
2971,
2999,
3001,
3011,
3019,
3023,
3037,
3041,
3049,
3061,
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433,
7451,
7457,
7459,
7477,
7481,
7487,
7489,
7499,
7507,
7517,
7523,
7529,
7537,
7541,
7547,
7549,
7559,
7561,
7573,
7577,
7583,
7589,
7591,
7603,
7607,
7621,
7639,
7643,
7649,
7669,
7673,
7681,
7687,
7691,
7699,
7703,
7717,
7723,
7727,
7741,
7753,
7757,
7759,
7789,
7793,
7817,
7823,
7829,
7841,
7853,
7867,
7873,
7877,
7879,
7883,
7901,
7907,
7919,
7927,
7933,
7937,
7949,
7951,
7963,
7993,
8009,
8011,
8017,
8039,
8053,
8059,
8069,
8081,
8087,
8089,
8093,
8101,
8111,
8117,
8123,
8147,
8161,
8167,
8171,
8179,
8191,
8209,
8219,
8221,
8231,
8233,
8237,
8243,
8263,
8269,
8273,
8287,
8291,
8293,
8297,
8311,
8317,
8329,
8353,
8363,
8369,
8377,
8387,
8389,
8419,
8423,
8429,
8431,
8443,
8447,
8461,
8467,
8501,
8513,
8521,
8527,
8537,
8539,
8543,
8563,
8573,
8581,
8597,
8599,
8609,
8623,
8627,
8629,
8641,
8647
],
"solution": 897,
"source_dataset": "count_primes",
"source_index": 74,
"start": 1081
}
|
Count how many prime numbers there are between 3962 and 9198 (inclusive) ?
|
591
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 9198,
"n": [
3962,
9198
],
"primes": [
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433,
7451,
7457,
7459,
7477,
7481,
7487,
7489,
7499,
7507,
7517,
7523,
7529,
7537,
7541,
7547,
7549,
7559,
7561,
7573,
7577,
7583,
7589,
7591,
7603,
7607,
7621,
7639,
7643,
7649,
7669,
7673,
7681,
7687,
7691,
7699,
7703,
7717,
7723,
7727,
7741,
7753,
7757,
7759,
7789,
7793,
7817,
7823,
7829,
7841,
7853,
7867,
7873,
7877,
7879,
7883,
7901,
7907,
7919,
7927,
7933,
7937,
7949,
7951,
7963,
7993,
8009,
8011,
8017,
8039,
8053,
8059,
8069,
8081,
8087,
8089,
8093,
8101,
8111,
8117,
8123,
8147,
8161,
8167,
8171,
8179,
8191,
8209,
8219,
8221,
8231,
8233,
8237,
8243,
8263,
8269,
8273,
8287,
8291,
8293,
8297,
8311,
8317,
8329,
8353,
8363,
8369,
8377,
8387,
8389,
8419,
8423,
8429,
8431,
8443,
8447,
8461,
8467,
8501,
8513,
8521,
8527,
8537,
8539,
8543,
8563,
8573,
8581,
8597,
8599,
8609,
8623,
8627,
8629,
8641,
8647,
8663,
8669,
8677,
8681,
8689,
8693,
8699,
8707,
8713,
8719,
8731,
8737,
8741,
8747,
8753,
8761,
8779,
8783,
8803,
8807,
8819,
8821,
8831,
8837,
8839,
8849,
8861,
8863,
8867,
8887,
8893,
8923,
8929,
8933,
8941,
8951,
8963,
8969,
8971,
8999,
9001,
9007,
9011,
9013,
9029,
9041,
9043,
9049,
9059,
9067,
9091,
9103,
9109,
9127,
9133,
9137,
9151,
9157,
9161,
9173,
9181,
9187
],
"solution": 591,
"source_dataset": "count_primes",
"source_index": 75,
"start": 3962
}
|
Count how many prime numbers there are between 6578 and 7010 (inclusive) ?
|
50
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 7010,
"n": [
6578,
7010
],
"primes": [
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001
],
"solution": 50,
"source_dataset": "count_primes",
"source_index": 76,
"start": 6578
}
|
Count how many prime numbers there are between 1870 and 3047 (inclusive) ?
|
151
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 3047,
"n": [
1870,
3047
],
"primes": [
1871,
1873,
1877,
1879,
1889,
1901,
1907,
1913,
1931,
1933,
1949,
1951,
1973,
1979,
1987,
1993,
1997,
1999,
2003,
2011,
2017,
2027,
2029,
2039,
2053,
2063,
2069,
2081,
2083,
2087,
2089,
2099,
2111,
2113,
2129,
2131,
2137,
2141,
2143,
2153,
2161,
2179,
2203,
2207,
2213,
2221,
2237,
2239,
2243,
2251,
2267,
2269,
2273,
2281,
2287,
2293,
2297,
2309,
2311,
2333,
2339,
2341,
2347,
2351,
2357,
2371,
2377,
2381,
2383,
2389,
2393,
2399,
2411,
2417,
2423,
2437,
2441,
2447,
2459,
2467,
2473,
2477,
2503,
2521,
2531,
2539,
2543,
2549,
2551,
2557,
2579,
2591,
2593,
2609,
2617,
2621,
2633,
2647,
2657,
2659,
2663,
2671,
2677,
2683,
2687,
2689,
2693,
2699,
2707,
2711,
2713,
2719,
2729,
2731,
2741,
2749,
2753,
2767,
2777,
2789,
2791,
2797,
2801,
2803,
2819,
2833,
2837,
2843,
2851,
2857,
2861,
2879,
2887,
2897,
2903,
2909,
2917,
2927,
2939,
2953,
2957,
2963,
2969,
2971,
2999,
3001,
3011,
3019,
3023,
3037,
3041
],
"solution": 151,
"source_dataset": "count_primes",
"source_index": 77,
"start": 1870
}
|
Count how many prime numbers there are between 912 and 4124 (inclusive) ?
|
410
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 4124,
"n": [
912,
4124
],
"primes": [
919,
929,
937,
941,
947,
953,
967,
971,
977,
983,
991,
997,
1009,
1013,
1019,
1021,
1031,
1033,
1039,
1049,
1051,
1061,
1063,
1069,
1087,
1091,
1093,
1097,
1103,
1109,
1117,
1123,
1129,
1151,
1153,
1163,
1171,
1181,
1187,
1193,
1201,
1213,
1217,
1223,
1229,
1231,
1237,
1249,
1259,
1277,
1279,
1283,
1289,
1291,
1297,
1301,
1303,
1307,
1319,
1321,
1327,
1361,
1367,
1373,
1381,
1399,
1409,
1423,
1427,
1429,
1433,
1439,
1447,
1451,
1453,
1459,
1471,
1481,
1483,
1487,
1489,
1493,
1499,
1511,
1523,
1531,
1543,
1549,
1553,
1559,
1567,
1571,
1579,
1583,
1597,
1601,
1607,
1609,
1613,
1619,
1621,
1627,
1637,
1657,
1663,
1667,
1669,
1693,
1697,
1699,
1709,
1721,
1723,
1733,
1741,
1747,
1753,
1759,
1777,
1783,
1787,
1789,
1801,
1811,
1823,
1831,
1847,
1861,
1867,
1871,
1873,
1877,
1879,
1889,
1901,
1907,
1913,
1931,
1933,
1949,
1951,
1973,
1979,
1987,
1993,
1997,
1999,
2003,
2011,
2017,
2027,
2029,
2039,
2053,
2063,
2069,
2081,
2083,
2087,
2089,
2099,
2111,
2113,
2129,
2131,
2137,
2141,
2143,
2153,
2161,
2179,
2203,
2207,
2213,
2221,
2237,
2239,
2243,
2251,
2267,
2269,
2273,
2281,
2287,
2293,
2297,
2309,
2311,
2333,
2339,
2341,
2347,
2351,
2357,
2371,
2377,
2381,
2383,
2389,
2393,
2399,
2411,
2417,
2423,
2437,
2441,
2447,
2459,
2467,
2473,
2477,
2503,
2521,
2531,
2539,
2543,
2549,
2551,
2557,
2579,
2591,
2593,
2609,
2617,
2621,
2633,
2647,
2657,
2659,
2663,
2671,
2677,
2683,
2687,
2689,
2693,
2699,
2707,
2711,
2713,
2719,
2729,
2731,
2741,
2749,
2753,
2767,
2777,
2789,
2791,
2797,
2801,
2803,
2819,
2833,
2837,
2843,
2851,
2857,
2861,
2879,
2887,
2897,
2903,
2909,
2917,
2927,
2939,
2953,
2957,
2963,
2969,
2971,
2999,
3001,
3011,
3019,
3023,
3037,
3041,
3049,
3061,
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111
],
"solution": 410,
"source_dataset": "count_primes",
"source_index": 78,
"start": 912
}
|
Count how many prime numbers there are between 150 and 4844 (inclusive) ?
|
615
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 4844,
"n": [
150,
4844
],
"primes": [
151,
157,
163,
167,
173,
179,
181,
191,
193,
197,
199,
211,
223,
227,
229,
233,
239,
241,
251,
257,
263,
269,
271,
277,
281,
283,
293,
307,
311,
313,
317,
331,
337,
347,
349,
353,
359,
367,
373,
379,
383,
389,
397,
401,
409,
419,
421,
431,
433,
439,
443,
449,
457,
461,
463,
467,
479,
487,
491,
499,
503,
509,
521,
523,
541,
547,
557,
563,
569,
571,
577,
587,
593,
599,
601,
607,
613,
617,
619,
631,
641,
643,
647,
653,
659,
661,
673,
677,
683,
691,
701,
709,
719,
727,
733,
739,
743,
751,
757,
761,
769,
773,
787,
797,
809,
811,
821,
823,
827,
829,
839,
853,
857,
859,
863,
877,
881,
883,
887,
907,
911,
919,
929,
937,
941,
947,
953,
967,
971,
977,
983,
991,
997,
1009,
1013,
1019,
1021,
1031,
1033,
1039,
1049,
1051,
1061,
1063,
1069,
1087,
1091,
1093,
1097,
1103,
1109,
1117,
1123,
1129,
1151,
1153,
1163,
1171,
1181,
1187,
1193,
1201,
1213,
1217,
1223,
1229,
1231,
1237,
1249,
1259,
1277,
1279,
1283,
1289,
1291,
1297,
1301,
1303,
1307,
1319,
1321,
1327,
1361,
1367,
1373,
1381,
1399,
1409,
1423,
1427,
1429,
1433,
1439,
1447,
1451,
1453,
1459,
1471,
1481,
1483,
1487,
1489,
1493,
1499,
1511,
1523,
1531,
1543,
1549,
1553,
1559,
1567,
1571,
1579,
1583,
1597,
1601,
1607,
1609,
1613,
1619,
1621,
1627,
1637,
1657,
1663,
1667,
1669,
1693,
1697,
1699,
1709,
1721,
1723,
1733,
1741,
1747,
1753,
1759,
1777,
1783,
1787,
1789,
1801,
1811,
1823,
1831,
1847,
1861,
1867,
1871,
1873,
1877,
1879,
1889,
1901,
1907,
1913,
1931,
1933,
1949,
1951,
1973,
1979,
1987,
1993,
1997,
1999,
2003,
2011,
2017,
2027,
2029,
2039,
2053,
2063,
2069,
2081,
2083,
2087,
2089,
2099,
2111,
2113,
2129,
2131,
2137,
2141,
2143,
2153,
2161,
2179,
2203,
2207,
2213,
2221,
2237,
2239,
2243,
2251,
2267,
2269,
2273,
2281,
2287,
2293,
2297,
2309,
2311,
2333,
2339,
2341,
2347,
2351,
2357,
2371,
2377,
2381,
2383,
2389,
2393,
2399,
2411,
2417,
2423,
2437,
2441,
2447,
2459,
2467,
2473,
2477,
2503,
2521,
2531,
2539,
2543,
2549,
2551,
2557,
2579,
2591,
2593,
2609,
2617,
2621,
2633,
2647,
2657,
2659,
2663,
2671,
2677,
2683,
2687,
2689,
2693,
2699,
2707,
2711,
2713,
2719,
2729,
2731,
2741,
2749,
2753,
2767,
2777,
2789,
2791,
2797,
2801,
2803,
2819,
2833,
2837,
2843,
2851,
2857,
2861,
2879,
2887,
2897,
2903,
2909,
2917,
2927,
2939,
2953,
2957,
2963,
2969,
2971,
2999,
3001,
3011,
3019,
3023,
3037,
3041,
3049,
3061,
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831
],
"solution": 615,
"source_dataset": "count_primes",
"source_index": 79,
"start": 150
}
|
Count how many prime numbers there are between 3917 and 7462 (inclusive) ?
|
404
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 7462,
"n": [
3917,
7462
],
"primes": [
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433,
7451,
7457,
7459
],
"solution": 404,
"source_dataset": "count_primes",
"source_index": 80,
"start": 3917
}
|
Count how many prime numbers there are between 5067 and 6422 (inclusive) ?
|
158
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 6422,
"n": [
5067,
6422
],
"primes": [
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421
],
"solution": 158,
"source_dataset": "count_primes",
"source_index": 81,
"start": 5067
}
|
Count how many prime numbers there are between 1453 and 4071 (inclusive) ?
|
330
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 4071,
"n": [
1453,
4071
],
"primes": [
1453,
1459,
1471,
1481,
1483,
1487,
1489,
1493,
1499,
1511,
1523,
1531,
1543,
1549,
1553,
1559,
1567,
1571,
1579,
1583,
1597,
1601,
1607,
1609,
1613,
1619,
1621,
1627,
1637,
1657,
1663,
1667,
1669,
1693,
1697,
1699,
1709,
1721,
1723,
1733,
1741,
1747,
1753,
1759,
1777,
1783,
1787,
1789,
1801,
1811,
1823,
1831,
1847,
1861,
1867,
1871,
1873,
1877,
1879,
1889,
1901,
1907,
1913,
1931,
1933,
1949,
1951,
1973,
1979,
1987,
1993,
1997,
1999,
2003,
2011,
2017,
2027,
2029,
2039,
2053,
2063,
2069,
2081,
2083,
2087,
2089,
2099,
2111,
2113,
2129,
2131,
2137,
2141,
2143,
2153,
2161,
2179,
2203,
2207,
2213,
2221,
2237,
2239,
2243,
2251,
2267,
2269,
2273,
2281,
2287,
2293,
2297,
2309,
2311,
2333,
2339,
2341,
2347,
2351,
2357,
2371,
2377,
2381,
2383,
2389,
2393,
2399,
2411,
2417,
2423,
2437,
2441,
2447,
2459,
2467,
2473,
2477,
2503,
2521,
2531,
2539,
2543,
2549,
2551,
2557,
2579,
2591,
2593,
2609,
2617,
2621,
2633,
2647,
2657,
2659,
2663,
2671,
2677,
2683,
2687,
2689,
2693,
2699,
2707,
2711,
2713,
2719,
2729,
2731,
2741,
2749,
2753,
2767,
2777,
2789,
2791,
2797,
2801,
2803,
2819,
2833,
2837,
2843,
2851,
2857,
2861,
2879,
2887,
2897,
2903,
2909,
2917,
2927,
2939,
2953,
2957,
2963,
2969,
2971,
2999,
3001,
3011,
3019,
3023,
3037,
3041,
3049,
3061,
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057
],
"solution": 330,
"source_dataset": "count_primes",
"source_index": 82,
"start": 1453
}
|
Count how many prime numbers there are between 3593 and 4804 (inclusive) ?
|
145
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 4804,
"n": [
3593,
4804
],
"primes": [
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801
],
"solution": 145,
"source_dataset": "count_primes",
"source_index": 83,
"start": 3593
}
|
Count how many prime numbers there are between 187 and 9052 (inclusive) ?
|
1083
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 9052,
"n": [
187,
9052
],
"primes": [
191,
193,
197,
199,
211,
223,
227,
229,
233,
239,
241,
251,
257,
263,
269,
271,
277,
281,
283,
293,
307,
311,
313,
317,
331,
337,
347,
349,
353,
359,
367,
373,
379,
383,
389,
397,
401,
409,
419,
421,
431,
433,
439,
443,
449,
457,
461,
463,
467,
479,
487,
491,
499,
503,
509,
521,
523,
541,
547,
557,
563,
569,
571,
577,
587,
593,
599,
601,
607,
613,
617,
619,
631,
641,
643,
647,
653,
659,
661,
673,
677,
683,
691,
701,
709,
719,
727,
733,
739,
743,
751,
757,
761,
769,
773,
787,
797,
809,
811,
821,
823,
827,
829,
839,
853,
857,
859,
863,
877,
881,
883,
887,
907,
911,
919,
929,
937,
941,
947,
953,
967,
971,
977,
983,
991,
997,
1009,
1013,
1019,
1021,
1031,
1033,
1039,
1049,
1051,
1061,
1063,
1069,
1087,
1091,
1093,
1097,
1103,
1109,
1117,
1123,
1129,
1151,
1153,
1163,
1171,
1181,
1187,
1193,
1201,
1213,
1217,
1223,
1229,
1231,
1237,
1249,
1259,
1277,
1279,
1283,
1289,
1291,
1297,
1301,
1303,
1307,
1319,
1321,
1327,
1361,
1367,
1373,
1381,
1399,
1409,
1423,
1427,
1429,
1433,
1439,
1447,
1451,
1453,
1459,
1471,
1481,
1483,
1487,
1489,
1493,
1499,
1511,
1523,
1531,
1543,
1549,
1553,
1559,
1567,
1571,
1579,
1583,
1597,
1601,
1607,
1609,
1613,
1619,
1621,
1627,
1637,
1657,
1663,
1667,
1669,
1693,
1697,
1699,
1709,
1721,
1723,
1733,
1741,
1747,
1753,
1759,
1777,
1783,
1787,
1789,
1801,
1811,
1823,
1831,
1847,
1861,
1867,
1871,
1873,
1877,
1879,
1889,
1901,
1907,
1913,
1931,
1933,
1949,
1951,
1973,
1979,
1987,
1993,
1997,
1999,
2003,
2011,
2017,
2027,
2029,
2039,
2053,
2063,
2069,
2081,
2083,
2087,
2089,
2099,
2111,
2113,
2129,
2131,
2137,
2141,
2143,
2153,
2161,
2179,
2203,
2207,
2213,
2221,
2237,
2239,
2243,
2251,
2267,
2269,
2273,
2281,
2287,
2293,
2297,
2309,
2311,
2333,
2339,
2341,
2347,
2351,
2357,
2371,
2377,
2381,
2383,
2389,
2393,
2399,
2411,
2417,
2423,
2437,
2441,
2447,
2459,
2467,
2473,
2477,
2503,
2521,
2531,
2539,
2543,
2549,
2551,
2557,
2579,
2591,
2593,
2609,
2617,
2621,
2633,
2647,
2657,
2659,
2663,
2671,
2677,
2683,
2687,
2689,
2693,
2699,
2707,
2711,
2713,
2719,
2729,
2731,
2741,
2749,
2753,
2767,
2777,
2789,
2791,
2797,
2801,
2803,
2819,
2833,
2837,
2843,
2851,
2857,
2861,
2879,
2887,
2897,
2903,
2909,
2917,
2927,
2939,
2953,
2957,
2963,
2969,
2971,
2999,
3001,
3011,
3019,
3023,
3037,
3041,
3049,
3061,
3067,
3079,
3083,
3089,
3109,
3119,
3121,
3137,
3163,
3167,
3169,
3181,
3187,
3191,
3203,
3209,
3217,
3221,
3229,
3251,
3253,
3257,
3259,
3271,
3299,
3301,
3307,
3313,
3319,
3323,
3329,
3331,
3343,
3347,
3359,
3361,
3371,
3373,
3389,
3391,
3407,
3413,
3433,
3449,
3457,
3461,
3463,
3467,
3469,
3491,
3499,
3511,
3517,
3527,
3529,
3533,
3539,
3541,
3547,
3557,
3559,
3571,
3581,
3583,
3593,
3607,
3613,
3617,
3623,
3631,
3637,
3643,
3659,
3671,
3673,
3677,
3691,
3697,
3701,
3709,
3719,
3727,
3733,
3739,
3761,
3767,
3769,
3779,
3793,
3797,
3803,
3821,
3823,
3833,
3847,
3851,
3853,
3863,
3877,
3881,
3889,
3907,
3911,
3917,
3919,
3923,
3929,
3931,
3943,
3947,
3967,
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433,
7451,
7457,
7459,
7477,
7481,
7487,
7489,
7499,
7507,
7517,
7523,
7529,
7537,
7541,
7547,
7549,
7559,
7561,
7573,
7577,
7583,
7589,
7591,
7603,
7607,
7621,
7639,
7643,
7649,
7669,
7673,
7681,
7687,
7691,
7699,
7703,
7717,
7723,
7727,
7741,
7753,
7757,
7759,
7789,
7793,
7817,
7823,
7829,
7841,
7853,
7867,
7873,
7877,
7879,
7883,
7901,
7907,
7919,
7927,
7933,
7937,
7949,
7951,
7963,
7993,
8009,
8011,
8017,
8039,
8053,
8059,
8069,
8081,
8087,
8089,
8093,
8101,
8111,
8117,
8123,
8147,
8161,
8167,
8171,
8179,
8191,
8209,
8219,
8221,
8231,
8233,
8237,
8243,
8263,
8269,
8273,
8287,
8291,
8293,
8297,
8311,
8317,
8329,
8353,
8363,
8369,
8377,
8387,
8389,
8419,
8423,
8429,
8431,
8443,
8447,
8461,
8467,
8501,
8513,
8521,
8527,
8537,
8539,
8543,
8563,
8573,
8581,
8597,
8599,
8609,
8623,
8627,
8629,
8641,
8647,
8663,
8669,
8677,
8681,
8689,
8693,
8699,
8707,
8713,
8719,
8731,
8737,
8741,
8747,
8753,
8761,
8779,
8783,
8803,
8807,
8819,
8821,
8831,
8837,
8839,
8849,
8861,
8863,
8867,
8887,
8893,
8923,
8929,
8933,
8941,
8951,
8963,
8969,
8971,
8999,
9001,
9007,
9011,
9013,
9029,
9041,
9043,
9049
],
"solution": 1083,
"source_dataset": "count_primes",
"source_index": 84,
"start": 187
}
|
Count how many prime numbers there are between 3985 and 9541 (inclusive) ?
|
632
|
{
"difficulty": {
"n": [
1,
10000
]
},
"end": 9541,
"n": [
3985,
9541
],
"primes": [
3989,
4001,
4003,
4007,
4013,
4019,
4021,
4027,
4049,
4051,
4057,
4073,
4079,
4091,
4093,
4099,
4111,
4127,
4129,
4133,
4139,
4153,
4157,
4159,
4177,
4201,
4211,
4217,
4219,
4229,
4231,
4241,
4243,
4253,
4259,
4261,
4271,
4273,
4283,
4289,
4297,
4327,
4337,
4339,
4349,
4357,
4363,
4373,
4391,
4397,
4409,
4421,
4423,
4441,
4447,
4451,
4457,
4463,
4481,
4483,
4493,
4507,
4513,
4517,
4519,
4523,
4547,
4549,
4561,
4567,
4583,
4591,
4597,
4603,
4621,
4637,
4639,
4643,
4649,
4651,
4657,
4663,
4673,
4679,
4691,
4703,
4721,
4723,
4729,
4733,
4751,
4759,
4783,
4787,
4789,
4793,
4799,
4801,
4813,
4817,
4831,
4861,
4871,
4877,
4889,
4903,
4909,
4919,
4931,
4933,
4937,
4943,
4951,
4957,
4967,
4969,
4973,
4987,
4993,
4999,
5003,
5009,
5011,
5021,
5023,
5039,
5051,
5059,
5077,
5081,
5087,
5099,
5101,
5107,
5113,
5119,
5147,
5153,
5167,
5171,
5179,
5189,
5197,
5209,
5227,
5231,
5233,
5237,
5261,
5273,
5279,
5281,
5297,
5303,
5309,
5323,
5333,
5347,
5351,
5381,
5387,
5393,
5399,
5407,
5413,
5417,
5419,
5431,
5437,
5441,
5443,
5449,
5471,
5477,
5479,
5483,
5501,
5503,
5507,
5519,
5521,
5527,
5531,
5557,
5563,
5569,
5573,
5581,
5591,
5623,
5639,
5641,
5647,
5651,
5653,
5657,
5659,
5669,
5683,
5689,
5693,
5701,
5711,
5717,
5737,
5741,
5743,
5749,
5779,
5783,
5791,
5801,
5807,
5813,
5821,
5827,
5839,
5843,
5849,
5851,
5857,
5861,
5867,
5869,
5879,
5881,
5897,
5903,
5923,
5927,
5939,
5953,
5981,
5987,
6007,
6011,
6029,
6037,
6043,
6047,
6053,
6067,
6073,
6079,
6089,
6091,
6101,
6113,
6121,
6131,
6133,
6143,
6151,
6163,
6173,
6197,
6199,
6203,
6211,
6217,
6221,
6229,
6247,
6257,
6263,
6269,
6271,
6277,
6287,
6299,
6301,
6311,
6317,
6323,
6329,
6337,
6343,
6353,
6359,
6361,
6367,
6373,
6379,
6389,
6397,
6421,
6427,
6449,
6451,
6469,
6473,
6481,
6491,
6521,
6529,
6547,
6551,
6553,
6563,
6569,
6571,
6577,
6581,
6599,
6607,
6619,
6637,
6653,
6659,
6661,
6673,
6679,
6689,
6691,
6701,
6703,
6709,
6719,
6733,
6737,
6761,
6763,
6779,
6781,
6791,
6793,
6803,
6823,
6827,
6829,
6833,
6841,
6857,
6863,
6869,
6871,
6883,
6899,
6907,
6911,
6917,
6947,
6949,
6959,
6961,
6967,
6971,
6977,
6983,
6991,
6997,
7001,
7013,
7019,
7027,
7039,
7043,
7057,
7069,
7079,
7103,
7109,
7121,
7127,
7129,
7151,
7159,
7177,
7187,
7193,
7207,
7211,
7213,
7219,
7229,
7237,
7243,
7247,
7253,
7283,
7297,
7307,
7309,
7321,
7331,
7333,
7349,
7351,
7369,
7393,
7411,
7417,
7433,
7451,
7457,
7459,
7477,
7481,
7487,
7489,
7499,
7507,
7517,
7523,
7529,
7537,
7541,
7547,
7549,
7559,
7561,
7573,
7577,
7583,
7589,
7591,
7603,
7607,
7621,
7639,
7643,
7649,
7669,
7673,
7681,
7687,
7691,
7699,
7703,
7717,
7723,
7727,
7741,
7753,
7757,
7759,
7789,
7793,
7817,
7823,
7829,
7841,
7853,
7867,
7873,
7877,
7879,
7883,
7901,
7907,
7919,
7927,
7933,
7937,
7949,
7951,
7963,
7993,
8009,
8011,
8017,
8039,
8053,
8059,
8069,
8081,
8087,
8089,
8093,
8101,
8111,
8117,
8123,
8147,
8161,
8167,
8171,
8179,
8191,
8209,
8219,
8221,
8231,
8233,
8237,
8243,
8263,
8269,
8273,
8287,
8291,
8293,
8297,
8311,
8317,
8329,
8353,
8363,
8369,
8377,
8387,
8389,
8419,
8423,
8429,
8431,
8443,
8447,
8461,
8467,
8501,
8513,
8521,
8527,
8537,
8539,
8543,
8563,
8573,
8581,
8597,
8599,
8609,
8623,
8627,
8629,
8641,
8647,
8663,
8669,
8677,
8681,
8689,
8693,
8699,
8707,
8713,
8719,
8731,
8737,
8741,
8747,
8753,
8761,
8779,
8783,
8803,
8807,
8819,
8821,
8831,
8837,
8839,
8849,
8861,
8863,
8867,
8887,
8893,
8923,
8929,
8933,
8941,
8951,
8963,
8969,
8971,
8999,
9001,
9007,
9011,
9013,
9029,
9041,
9043,
9049,
9059,
9067,
9091,
9103,
9109,
9127,
9133,
9137,
9151,
9157,
9161,
9173,
9181,
9187,
9199,
9203,
9209,
9221,
9227,
9239,
9241,
9257,
9277,
9281,
9283,
9293,
9311,
9319,
9323,
9337,
9341,
9343,
9349,
9371,
9377,
9391,
9397,
9403,
9413,
9419,
9421,
9431,
9433,
9437,
9439,
9461,
9463,
9467,
9473,
9479,
9491,
9497,
9511,
9521,
9533,
9539
],
"solution": 632,
"source_dataset": "count_primes",
"source_index": 85,
"start": 3985
}
|
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