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6
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# エラトステネスの篩 def make_prime_table(n): sieve = list(range(n + 1)) sieve[0] = -1 sieve[1] = -1 for i in range(2, int(n ** 0.5) + 1): if sieve[i] != i: continue for j in range(i * i, n + 1, i): if sieve[j] == j: sieve[j] = i return sieve...
def make_prime_table(n): sieve = list(range(n + 1)) sieve[0] = -1 sieve[1] = -1 for i in range(4, n + 1, 2): sieve[i] = 2 for i in range(3, int(n ** 0.5) + 1, 2): if sieve[i] != i: continue for j in range(i * i, n + 1, i * 2): if sieve[j] == ...
p02819
a = int(eval(input())) flag = 0 j = 0 while(flag != 1): count =0 temp = a+j for i in range(2, temp): if(temp %i == 0): count +=1 if(count == 0): flag =1 print(temp) j+=1
import math def isPrime(n): if(n <= 1): return False if(n <= 3): return True if(n % 2 == 0 or n % 3 == 0): return False for i in range(5,int(math.sqrt(n) + 1), 6): if(n % i == 0 or n % (i + 2) == 0): return False re...
p02819
x = int(eval(input())) def prime_factorize(n): r = [] while n % 2 == 0: r.append(2) n //= 2 f = 3 while f * f <= n: if n % f == 0: r.append(f) n //= f else: f += 2 if n != 1: r.append(n) return r ...
x = int(eval(input())) def isPrime(n): if n == 2: return True if n % 2 == 0: return False m = int(n**0.5)+1 for p in range(3, m, 2): if n % p == 0: return False return True while not isPrime(x): x += 1 print(x)
p02819
''' import math import fractions def make_divisors(n): divisors = [] for i in range(1, int(n**0.5)+1): if n % i == 0: divisors.append(i) if i != n // i: divisors.append(n//i) # divisors.sort() return divisors def bitlist(x,digit): re...
''' import math import fractions def make_divisors(n): divisors = [] for i in range(1, int(n**0.5)+1): if n % i == 0: divisors.append(i) if i != n // i: divisors.append(n//i) # divisors.sort() return divisors def bitlist(x,digit): re...
p02819
import sys n = int(eval(input())) for i in range(n,2*n): chk = True for j in range(2,n): if i%j==0: chk=False if chk==True: print(i) sys.exit()
x = int(eval(input())) def is_prime(n): for i in range(2,int(n**0.5)+1): if n%i != 0: continue else: return False return True while True: if is_prime(x) == True: break else: x +=1 print(x)
p02819
import sys import math def is_prime(n): if n == 1: return False for k in range(2, int(math.sqrt(n)) + 1): if n % k == 0: return False return True x = int(eval(input())) for i in range(x, 10**5+4): if is_prime(i): print(i) sys.exit()
import sys import math def is_prime(n): if n == 1: return False for k in range(2, int(math.sqrt(n)) + 1): if n % k == 0: return False return True x = int(eval(input())) if x == 2: print(x) sys.exit() for i in range(x, 10**5+4): if i % 2 == 1 and is_pr...
p02819
x = int(eval(input())) prime_table = [] def judge(n): for i in prime_table: if n%i == 0: return False prime_table.append(n) return True num = 1 p = True while p == True: num += 1 if judge(num) == True: if num >= x: p = False print(num)
x = int(eval(input())) def is_prime(n): if n <= 1: return False for i in range(2, x): if x%i == 0: return False return True while is_prime(x) == False: x += 1 print(x)
p02819
x = int(eval(input())) def is_prime(n): if n <= 1: return False for i in range(2, x): if x%i == 0: return False return True while is_prime(x) == False: x += 1 print(x)
import math x = int(eval(input())) def is_prime(n): if n <= 1: return False for i in range(2, int(math.sqrt(x))): if x%i == 0: return False return True while is_prime(x) == False: x += 1 print(x)
p02819
#!/usr/bin/env python3 def main(): x = int(eval(input())) primes = furui(300000) for p in primes: if x <= p: print(p) return raise ValueError def furui(nmax): assert nmax > 2 p = 2 primes = list(range(2, nmax + 1)) while True: if ...
#!/usr/bin/env python3 def main(): x = int(eval(input())) primes = furui(300000) for p in primes: if x <= p: print(p) return raise ValueError # https://mathtrain.jp/eratosthenes def furui(nmax): assert nmax > 2 p = 2 primes = list(range(2, nma...
p02819
#!/usr/bin/env python3 def main(): x = int(eval(input())) primes = furui(300000) for p in primes: if x <= p: print(p) return raise ValueError # https://mathtrain.jp/eratosthenes def furui(nmax): assert nmax > 2 p = 2 primes = list(range(2, nma...
#!/usr/bin/env python3 def main(): x = int(eval(input())) primes = sieve(300000) for p in primes: if x <= p: print(p) return raise ValueError # O(nloglogn) https://mathtrain.jp/eratosthenes def sieve(n): # exclusive s = [True] * n for x in range(2...
p02819
def prime(n): prime_table = [2] for i in range(3,n+1): f = 1 for j in prime_table[:bisect.bisect_right(prime_table,int(i**0.5))]: if i % j == 0: f = 0 break if f: prime_table.append(i) return prime_table import bisect n = int(eval(input())) prime_table = prim...
def prime(n): prime_table = [2] for i in range(3,n+1): f = 1 for j in prime_table[:bisect.bisect_right(prime_table,int(i**0.5))]: if i % j == 0: f = 0 break if f: prime_table.append(i) return prime_table import bisect x = int(eval(input())) pt = prime(5*10**5...
p02819
import math X = int(eval(input())) def is_prime(x): a = int(math.sqrt(X)) + 1 for i in range(2,a): if x % i == 0: return False return True for j in range(X,X+100): if is_prime(j): ans = j break print(ans)
import math X = int(eval(input())) def is_prime(x): a = int(math.sqrt(X)) + 1#ある数が素数かどうかはO(√A)で判定できる for i in range(2,a): if x % i == 0: return False return True#xは素数 for j in range(X,10**5+4): if is_prime(j): ans = j break print(ans)
p02819
from bisect import bisect_left, bisect_right def get_primes(n): if not isinstance(n, int): raise TypeError('n is int-type.') if n < 2: raise ValueError('n is more than 2') from math import sqrt def _sieve_of_eratosthenes(n): primes = [] limit = sqrt(n) ...
from bisect import bisect_left def get_primes(n): if not isinstance(n, int): raise TypeError('n is int-type.') if n < 2: raise ValueError('n is more than 2') from math import sqrt def _sieve_of_eratosthenes(n): primes = [] limit = sqrt(n) data =...
p02819
#!/usr/bin/env python3 from collections import defaultdict,deque from heapq import heappush, heappop from bisect import bisect_left, bisect_right import sys, random, itertools, math sys.setrecursionlimit(10**5) input = sys.stdin.readline sqrt = math.sqrt def LI(): return list(map(int, input().split())) def LF(...
n = int(eval(input())) def f(x): for k in range(2, int(x**0.5) + 1): if x % k != 0: continue return False return True i = n while 1: if f(i): print(i) break i += 1
p02819
x = int(eval(input())) y = x + 100 is_prime = [False] * 2 + [True for _ in range(2, y+1)] prime = [] for i in range(2, y+1): for j in range(i*2, y+1, i): is_prime[j] = False for i in range(y+1): if is_prime[i]: prime.append(i) for i in range(len(prime)): if prime[i] >= x: print((prime[i])) ...
x = int(eval(input())) while True: x_sqrt = int(x ** 0.5) for i in range(2, x_sqrt+1): if x % i == 0: break else: print(x) break x += 1
p02819
x = int(eval(input())) for i in range(x,10**5+100): flg = 'so' for j in range(2,x): if i % j == 0: flg = 'no' if flg == 'so': print(i) exit()
x = int(eval(input())) for i in range(x,10**5+100): flg = 'so' for j in range(2,x): if i % j == 0: flg = 'no' break if flg == 'so': print(i) exit()
p02819
import math X = int(eval(input())) def get_primenumber(number): prime_list = [] # 2からnumberまでの数字をsearch_listに入れる search_list = list(range(2, number+1)) while True: # search_listの先頭の値が√nの値を超えたら処理終了 if search_list[0] > math.sqrt(number): # prime_listにsearch_listを結合 ...
x = int(eval(input())) while True: i = 2 ok = True while i * i <= x: if x % i == 0: ok = False break i += 1 if ok: print(x) break x += 1
p02819
X = int(eval(input())) while True: flg=True for i in range(2, X): if X%i!=0: continue flg=False break if flg: print(X) break else: X+=1 continue
import math X = int(eval(input())) Y = int(math.sqrt(X)) while True: flg=True for i in range(2, Y): if X%i!=0: continue flg=False break if flg: print(X) break else: X+=1 continue
p02819
#!/usr/bin/env python3 import math n = int(eval(input())) def eratosthenes(n): prime = [2] i = 2 while prime[-1] < n: i += 1 prime_bit = 0 for div in prime: if i % div == 0: break if div == prime[-1]: prime_bit = 1 if prim...
#!/usr/bin/env python3 import math n = int(eval(input())) def is_prime(n): for i in range(2,math.ceil(n**1/2)+1): if n % i == 0: return False return True i = n while True: if is_prime(i): break i += 1 print(i)
p02819
X=int(eval(input())) flag = True if X == 2: print(X) else: while flag: i = 2 while i<X: if X%i == 0: break if i == X-1: print(X) flag = False break i = i+1 X = X+1
X=int(eval(input())) def is_prime(q,k=100): q = abs(q) if q == 2: return True if q < 2 or q&1 == 0: return False for i in range(3,k): x,y = q,i while y: x, y = y, x % y if x != 1: continue if pow(i, q-1, q) != 1: return False retur...
p02819
# import numpy as np import math import sys input = sys.stdin.readline X = int(eval(input())) if X == 2: print(X) sys.exit() def segment_sieve(a,b): ass = [] is_prime_small = [True] * (int(b**0.5)+1) is_prime = [True] * (b-a) for i in range(2,int(b**0.5)): if is_prime_...
# import numpy as np import math import sys input = sys.stdin.readline X = int(eval(input())) def is_prime(x): if x <= 1: return False for i in range(2,int(math.sqrt(x))+1): if x % i == 0: return False return True while not is_prime(X): X += 1 print(X)
p02819
X = int(eval(input())) import math def get_prime(n): if n <=1: return [] prime = [2] limit = int(math.sqrt(n)) # 奇数のリストを作成 data = [i+1 for i in range(2,n,2)] while limit > data[0]: prime.append(data[0]) data = [j for j in data if j % data[0] !=0] ...
X = int(eval(input())) def is_prime(n): if n <= 1: return False for i in range(2,int(n**0.5)+1): if n % i ==0: return False return True for i in range(X,(X*2)+100,): if is_prime(i): print(i) break
p02819
X = int(eval(input())) def is_prime(n): if n <= 1: return False for i in range(2,int(n**0.5)+1): if n % i ==0: return False return True for i in range(X,(X*2)+100,): if is_prime(i): print(i) break
X = int(eval(input())) def is_prime(n): if n <= 1: return False for i in range(2,int(n**0.5)+1): if n % i ==0: return False return True while not is_prime(X): X+=1 print(X)
p02819
import math import sys x = int(eval(input())) flg = 0 if x == 2: print(x) sys.exit() for i in range(x,100005): flg = 0 for j in range(2,int(math.sqrt(i))+1): if i%j == 0: flg = 1 if flg == 0 and j == int(math.sqrt(i)): print(i) sys.exit() continue
import sys import math x=int(eval(input())) while True: for i in range(2,int(math.sqrt(x))): if x%i==0: break else: print(x) break x+=1
p02819
X = int(eval(input())) for i in range(X, 100005): for j in range(2,i): if i%j == 0: break else: print(i) quit()
import math X = int(eval(input())) def isPrime(n): if n == 1: return False max = math.ceil(math.sqrt(n)) for i in range(2,max): if n % i == 0: return False return True while(True): if isPrime(X): print(X) quit() else: X = X+1
p02819
N = int(eval(input())) ans = -1 x = N while(ans == -1): if all([x % i != 0 for i in range(2, x)]): ans = x else: x += 1 print(ans)
x=int(eval(input())) f=0 if x == 2: print((2)) else: for i in range(x,10**6): for j in range(2,i//2+2): if i%j == 0: break else: f=i break print(f)
p02819
x=int(eval(input())) f=0 if x == 2: print((2)) else: for i in range(x,10**6): for j in range(2,i//2+2): if i%j == 0: break else: f=i break print(f)
from math import sqrt n=int(eval(input())) def is_prime(n): if n<2: return False for k in range(2,int(sqrt(n))+1): if n%k==0: return False return True while not is_prime(n): n+=1 print(n)
p02819
def eratosthenes(n: int) -> list: is_prime = [True] * (n + 1) is_prime[0] = is_prime[1] = False for i in range(2, n // 2 + 1): if is_prime[i]: for j in range(2, n // i + 1): is_prime[i * j] = False return is_prime x = int(eval(input())) is_prime = eratost...
def is_prime(n): if n <= 1: return False elif n == 2: return True elif n % 2 == 0: return False for i in range(3, n, 2): if i * i > n: break if n % i == 0: return False return True x = int(eval(input())) while not is_p...
p02819
def genP(): yield 2 yield 3 c=6 while 1: yield c-1 yield c+1 c+=6 def sosu(n): if n in [2,3,5]: return True l=int(n**0.5)+1 p=genP() for i in p: if i>l: return True break elif n%i==0: return False break def resolve(): x=int(eval(input())) while 1: if sosu...
def sosu(p): if p==2: return True l=int(p**0.5)+1 for i in range(2,l+1): if p%i==0: return False return True x=int(eval(input())) x+=1 if x!=2 and x%2==0 else 0 while sosu(x)==False: x+=2 print(x)
p02819
x = int(eval(input())) p = [True] * 100004 p[0] = False p[1] = False for i in range(int(100003 ** 0.5)): if p[i] == False: continue for j in range(2, 100003 // i + 1): p[i * j] = False for i in range(x, 100004): if p[i] == True: print(i) break
x = int(eval(input())) for i in range(x, 100003 + 1): for j in range(2, i): if i % j == 0: break else: print(i) break
p02819
X = int(eval(input())) count = 0 for i in range(2, X+1, 1): if X % i == 0: count += 1 if count == 1: print(X) else: while True: count = 0 X += 1 for i in range(2, X+1, 1): if X % i == 0: count += 1 if count == 1: ...
x = int(eval(input())) p = x - 1 prime = False if x == 2: print((2)) else: while prime == False: p += 1 prime = True for i in range(2, p - 1): if p % i == 0: prime = False break print(p)
p02819
def get_primenumber(N): prime_list = [2] for num in range(3,N+1,2): if all( num % prime != 0 for prime in prime_list): prime_list.append(num) return prime_list X = int(eval(input())) s = get_primenumber(X+100) for i in range(10**4): if s[i]>=X: print((s[i])) ...
K = [2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,...
p02819
import sys import math input = sys.stdin.readline def multiples(n): for i in range(3,100003): yield i*n if i*n > 100003: break def sosuu(x): if x == 2 : return 2 d = set() end = math.ceil(math.sqrt(x)) d = d.union(multiples(2)) for i in range(3,end,2)...
import sys import math input = sys.stdin.readline def is_prime(x): if x <= 1: return False for i in range(2,math.ceil(x**0.5)): if x%i==0: return False return True def main(): x = int(eval(input())) p = x while not is_prime(p): p += 1 pr...
p02819
n = int(eval(input())) while(True): flag = True for i in range(2, n): if n % i == 0: flag = False break if flag: break n += 1 print(n)
n = int(eval(input())) def is_prime(n): flag = True for i in range(2, n): if n % i == 0: flag = False break return flag while(not is_prime(n)): n += 1 print(n)
p02819
import math from itertools import product x = int(eval(input())) limit = 10**5 sosu = -1 flag = 1 i = x while True: for j in range(2, int(math.sqrt(i))+1): if (i%j)==0: flag = 0 break if flag: sosu = i break else: i += 1 flag = 1 print(sosu)
import math x = int(eval(input())) limit = 10**5 i = x while True: for j in range(2, int(math.sqrt(i))+1): if (i%j)==0: break else: # すべてのjで割り切れなかった場合 print(i) break i += 1
p02819
import sys sys.setrecursionlimit(10 ** 6) # input = sys.stdin.readline #### def int1(x): return int(x) - 1 def II(): return int(eval(input())) def MI(): return list(map(int, input().split())) def MI1(): return list(map(int1, input().split())) def LI(): return list(map(int, input().split())) def LI1(): re...
import sys sys.setrecursionlimit(10 ** 6) # input = sys.stdin.readline #### def int1(x): return int(x) - 1 def II(): return int(eval(input())) def MI(): return list(map(int, input().split())) def MI1(): return list(map(int1, input().split())) def LI(): return list(map(int, input().split())) def LI1(): re...
p02819
import sys sys.setrecursionlimit(10 ** 6) # input = sys.stdin.readline #### def int1(x): return int(x) - 1 def II(): return int(eval(input())) def MI(): return list(map(int, input().split())) def MI1(): return list(map(int1, input().split())) def LI(): return list(map(int, input().split())) def LI1(): re...
# import sys # sys.setrecursionlimit(10 ** 6) # # input = sys.stdin.readline #### # def int1(x): return int(x) - 1 def II(): return int(eval(input())) # def MI(): return map(int, input().split()) # def MI1(): return map(int1, input().split()) # # def LI(): return list(map(int, input().split())) # def LI1(...
p02819
# coding: utf-8 from bisect import bisect_left def primes(n): is_prime = [True] * (n + 1) is_prime[0] = False is_prime[1] = False for i in range(2, int(n**0.5) + 1): if not is_prime[i]: continue for j in range(i * 2, n + 1, i): is_prime[j] = False r...
# coding: utf-8 def elatostenes(x): for i in range(2, int(x ** 0.5)+1): if x % i == 0: return False return True X = int(eval(input())) while True: if elatostenes(X): print(X) exit() else: X += 1
p02819
a = int(eval(input())) def hantei(x): k = 0 for i in range(2, x//2): if x % i == 0: k += 1 if k ==0: return x c = True while c: hantei(a) b = hantei(a) if b is not None: print(b) c = False elif b is None: a += 1
a = int(eval(input())) b = True def hantei(n, x): #素数だとFalseを返す for i in range(2, n): if n % i == 0: x = True return x while b: b = hantei(a, b) if b is None: print(a) break a += 1
p02819
X=int(eval(input())) while True: for x in range(2,X): if X%x==0: break else: print(X) break X+=1
X=int(eval(input())) for x in range(X,2*X): for i in range(2,int(x**.5)+1): if x%i==0: break else: print(x) break
p02819
X=int(eval(input())) num=2 while num<X: if X%num==0: X+=1 num=2 else: num+=1 print(X)
X=int(eval(input())) for x in range(X,2*X): for i in range(2,int(x**.5)+1): if x%i==0: break else: print(x) break
p02819
import sys #import numpy as np stdin = sys.stdin ri = lambda: int(rs()) rl = lambda: list(map(int, stdin.readline().split())) # applies to numbers only rs = lambda: stdin.readline().rstrip() # ignore trailing spaces X = ri() def primes(n): is_prime = [True] * (n + 1) is_prime[0] = False is_pr...
import sys sys.setrecursionlimit(10 ** 7) sr = lambda: sys.stdin.readline().rstrip() ir = lambda: int(sr()) lr = lambda: list(map(int, sr().split())) X = ir() def check(n): if X == 2: return True if n % 2 == 0: return False f = 3 while f * f <= n: if n % f == 0...
p02819
X = int(eval(input())) flag = 0 while flag ==0: if X==2: X+=1 break for i in range(X-2): if X%(i+2)==0: break if i+3==X: flag = 1 break X +=1 print((X-1))
X=int(eval(input())) flag=0 if X==2 or X==3: flag=1 while flag==0: for k in range(2,int(X**0.5)+1): if k==int(X**0.5) and X%k!=0: flag=1 if k>2 and k%2==0: continue elif k>3 and k%3==0: continue elif X%k==0: break if flag==0:X=X+1 print(X)
p02819
import bisect x = int(eval(input())) def sieve(n): is_prime = [True for _ in range(n+1)] is_prime[0] = False for i in range(2, n+1): if is_prime[i-1]: j = 2 * i while j <= n: is_prime[j-1] = False j += i table = [ i for i i...
x = int(eval(input())) def sieve(n): is_prime = [True for _ in range(n+1)] is_prime[0] = False for i in range(2, n+1): if is_prime[i-1]: j = 2 * i while j <= n: is_prime[j-1] = False j += i table = [ i for i in range(1, n+1) i...
p02819
def Eratosthenes(x): lis = [int(i) for i in range(2,x)] #print(lis) res = list() while lis: a = lis.pop(0) res.append(a) lis = [i for i in lis if i%a != 0] #print(lis) return res N = int(eval(input())) lis = Eratosthenes(N) x = N while True: if a...
# -*- coding: utf-8 -*- """ Created on Tue Sep 8 20:09:25 2020 @author: liang """ def Eratosthenes(x): lis = [int(i) for i in range(2,x)] #print(lis) res = list() while lis: a = lis.pop(0) res.append(a) lis = [i for i in lis if i%a != 0] #print(lis) ...
p02819
# -*- coding: utf-8 -*- """ Created on Tue Sep 8 20:09:25 2020 @author: liang """ def Eratosthenes(x): lis = [int(i) for i in range(2,x)] #print(lis) res = list() while lis: a = lis.pop(0) res.append(a) lis = [i for i in lis if i%a != 0] #print(lis) ...
# -*- coding: utf-8 -*- """ Created on Tue Sep 8 20:25:36 2020 @author: liang """ def Eratosthenes(x): lis = [int(i) for i in range(2,x+1)] #print(lis) res = list() while lis: a = lis.pop(0) res.append(a) lis = [i for i in lis if i%a != 0] #print(lis) ...
p02819
# -*- coding: utf-8 -*- """ Created on Tue Sep 8 20:25:36 2020 @author: liang """ def Eratosthenes(x): lis = [int(i) for i in range(2,x+1)] #print(lis) res = list() while lis: a = lis.pop(0) res.append(a) lis = [i for i in lis if i%a != 0] #print(lis) ...
# -*- coding: utf-8 -*- """ Created on Tue Sep 8 20:37:12 2020 @author: liang """ import math X = int(eval(input())) N = int(math.sqrt(X)) lis = list(range(2,N+1)) #print(N) #print(lis) ans = X while True: if all(ans%i != 0 for i in lis): print(ans) break #print(ans) a...
p02819
x=int(eval(input())) s={2} if x==2: print((2)) else: for i in range(3,10**6): if all(i%j!=0 for j in s): s.add(i) if i>=x: print(i) break
x=int(eval(input())) counter=0 while counter==0: counter=1 for i in range(2,x): if x%i==0: counter=0 if counter==1: print(x) else: x+=1
p02819
x = int(eval(input())) n = 2 while n<x: if x%n == 0: x+=1 n=2 else: n+=1 print(x)
x = int(eval(input())) for y in range(x,2*x): for i in range(2, int(y**.5)+1): if y%i ==0: break else: print(y) break
p02819
X = int(eval(input())) result = False while result == False: result = True for i in range(2,-(-X//2)+1): if X % i == 0: result = False break else: result = True if not result: X += 1 print(X)
X = int(eval(input()))-1 result = False while not result: result = True X += 1 for i in range(2,X//2+1): if X % i == 0: result = False break print(X)
p02819
x = int(eval(input())) while True: is_prime = True for i in range(2, x): if x % i == 0: is_prime = False break if is_prime: print(x) break x += 1
x = int(eval(input())) def is_prime(x): if x <= 1: return False for i in range(2, int(x**0.5)+1): if x % i == 0: return False return True while(not is_prime(x)): x += 1 print(x)
p02819
import sys import math def isPrime(num): if num < 2: return False elif num == 2: return True elif num % 2 == 0: return False for i in range(3, math.floor(math.sqrt(num))+1, 2): if num % i == 0: return False return True def callIsPrime(input_num): numbers = [] ...
import sys import math def is_prime(num): if num < 2: return False elif num == 2: return True elif num % 2 == 0: return False for i in range(3, math.floor(math.sqrt(num))+1, 2): if num % i == 0: return False return True def call_is_prime(n): return [i for i in ...
p02819
import math X = int(eval(input())) if X == 2 or X == 3: print(X) exit() x = X while 1: flag = 1 for i in range(2,int(math.sqrt(X))+1): if x%i == 0: flag = 0 if flag: print(x) break x += 1
def is_prime(x): if x == 1: return False flag = True for i in range(2,int(math.sqrt(x))+1): if x%i == 0: flag = False return flag import math X = int(eval(input())) i=0 while 1: if is_prime(X+i): print((X+i)) break i+=1
p02819
N = int(eval(input())) over_box = [i for i in range(N,10**6)] primes = [2] for i in range(3, N, 2): all(i % p != 0 for p in primes) and primes.append(i) for i in over_box: if N ==2: print((2)) break elif all(i % p != 0 for p in primes): print(i) break
N = int(eval(input())) box = [i for i in range(N,100004)] box = [i for i in box if not i % 2==0] box = [i for i in box if not i % 3==0] box = [i for i in box if not i % 5==0] box = [i for i in box if not i % 7==0] primes = [2] for i in range(3, N, 2): all(i % p != 0 for p in primes) and primes.append(i) fo...
p02819
X = int(eval(input())) if X == 2: print((2)) exit() num = 3 ps = [2] while 1: flag = True for p in ps: if num%p == 0: flag = False break if flag: ps.append(num) if num>=X: print(num) exit() num += 1
X = int(eval(input())) if X == 2: print((2)) exit() num = 3 ps = [2] while 1: flag = True for p in ps: if num%p == 0: flag = False break if flag: ps.append(num) if num>=X: print(num) exit() num += 2
p02819
x = int(eval(input())) a = 2 while True: while a <= int(x**0.5//1): if x%a == 0: break a += 1 else: ans = x break x += 1 a = 2 print(ans)
def is_prime(n): if n == 1: return True for i in range(2,int(n**0.5)+1): if n%i == 0: return False return True x = int(eval(input())) while True: if is_prime(x) == True: ans = x break x += 1 print(ans)
p02819
X = int(eval(input())) import math # Mまでの素数全列挙(エラトステネスの篩) def primes(M): is_prime = [-1 for _ in range(M+1)] for m in range(2, M+1): if is_prime[m] == -1: is_prime[m] = 1 l = 2 while m*l <= M: is_prime[m*l] = 0 l += 1 ...
N = int(eval(input())) import math # Mまでの素数全列挙(エラトステネスの篩) def primes(M): is_prime = [-1 for _ in range(M+1)] for m in range(2, M+1): if is_prime[m] == -1: is_prime[m] = 1 l = 2 while m*l <= M: is_prime[m*l] = 0 l += 1 ...
p02819
def is_prime(n): if n==1: return False for i in range(2, int(n**.5)+1): if n%i==0: return False return True x = int(eval(input())) for i in range(x, 10**6): if is_prime(i): print(i) break
def is_prime(n): if n==1: return False for i in range(2, int(n**.5)+1): if n%i==0: return False return True x = int(eval(input())) if x!=2 and x%2==0: x+=1 for i in range(x, 10**6, 2): if is_prime(i): print(i) break
p02819
import math X = int(eval(input())) X -= 1 Flag = True if X == 1: print((2)) Flag = False while Flag: X += 1 r = 1 for i in range(math.ceil(math.sqrt(X)) - 1): r += 1 if X % r == 0: break if r == math.ceil(math.sqrt(X)): print(X) Flag = False
import math X = int(eval(input())) while any(X % i == 0 for i in range(2, int(math.sqrt(X)+1))): X += 1 print(X)
p02819
def prime(x): flag = True n = 1 while(n**2 <=x): n += 1 q,r = divmod(x,n) if r==0: flag = False break return flag def find(x): c = x while(prime(c)==False): c +=2 return c x = int(eval(input())) if x==2: print...
def prime(x): n = 2 while(n * n <= x): if(x % n ==0): return False n += 1 return True x = int(eval(input())) while(prime(x)!=True): x += 1 print(x)
p02819
X=int(eval(input())) ps=[2] x=2 while ps[-1]<X: f=True for p in ps: if x%p==0: f=False break if f:ps.append(x) x+=1 print((ps[-1]))
def is_prime(p): if p>1: for i in range(2,p): if p%i==0:return True return False X=int(eval(input())) p=X while is_prime(p) != False:p+=1 print(p)
p02819
X = int(eval(input())) fact = [True] * (10 ** 5 + 1000) fact[0],fact[1] = False,False for i in range(2,len(fact)): if fact[i]: for j in range(i * 2, len(fact), i): fact[j] = False for i in range(X,len(fact)): if fact[i]: print(i) break
X = int(eval(input())) def checkfact(x): for i in range(2,int(x ** 0.5) + 1): if x % i == 0: return False return True while True: if checkfact(X): print(X) break X += 1
p02819
x = int(eval(input())) ok = False while ok == False: ok = True for i in range(2, x): if x%i == 0: ok = False x += 1 #print("####") break if ok == True: print(x) break
x = int(eval(input())) ok = False while ok == False: ok = True for i in range(2, int(x/2)): if x%i == 0: ok = False x += 1 #print("####") break if ok == True: print(x) break
p02819
X = int(eval(input())) def iter_next_prime(): yield 2 yield 3 primes = [2, 3] i = 3 while True: i += 2 for prime in primes: if i % prime == 0: break else: yield i primes.append(i) for prime in iter_next...
X = int(eval(input())) primes = [2, 3, 5, 7, 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, ...
p02819
x = int(eval(input())) if x == 1: ans = 1 elif x == 2: ans = 2 else: num = [3] for i in range(3, x, 2): for j in num: if (i % j) == 0: break else: num.append(i) last_num = i k = i + 1 while True: for j in n...
# ABC149C import math def check_prime(num): for i in range(2, math.ceil(math.sqrt(num))): if num % i == 0: return False else: return True x = int(eval(input())) while True: if check_prime(x): print(x) break x += 1
p02819
X = int(eval(input())) prime = [2] for i in range(3, 100004): for p in prime: is_prime = True if i % p == 0: is_prime = False break if is_prime: prime.append(i) print((min([i for i in prime if i >= X])))
X = int(eval(input())) def is_prime(n): for i in range(2, int(n ** 1/2) + 1): if n % i == 0: return False return True for i in range(X, 100004): if is_prime(i): print(i) break
p02819
x = int(eval(input())) s =[2] a = x if x==2: print(x) else: for i in range(3,2*x,2): if all(i%k!=0 for k in s): s.append(i) if i >=x: print(i) exit()
x = int(eval(input())) s =[2] if x==2: print(x) exit() else: for i in range(3,int(x/2),2): if all(i%k!=0 for k in s): s.append(i) while any(x%k==0 for k in s): x+=1 else: print(x)
p02819
from subprocess import* x=int(eval(input())) while len(Popen(['factor',str(x)],stdout=PIPE).communicate()[0].split())>2:x+=1 print(x)
x=int(eval(input())) while any(x%i<1for i in range(2,x)):x+=1 print(x)
p02819
import math x = int(eval(input())) def prime_get(): if x <= 1: return [] prime = [2] limit = int(math.sqrt(x)) data = [i+1 for i in range(2,100004,2)] while limit >= data[0]: prime.append(data[0]) data = [j for j in data if j % data[0] != 0] return prime+data...
import math x = int(eval(input())) def prime(x): if x == 2: return True elif x % 2 == 0: return False elif x > 2: for i in range(3, math.floor(math.sqrt(x))+1,2): if x % i == 0: return False return True while prime(x) != True : x...
p02819
x = int(eval(input())) def get_prime(n): p = [2] for i in range(3, n, 2): if all(i%j!=0 for j in p): p.append(i) return p p = get_prime(x) if x == 2: print((2)) else: if x%2 == 0: x += 1 while True: for prime in p: if x%prime =...
x = int(eval(input())) if x == 2: print((2)) exit() elif x%2 == 0: x += 1 def get_prime(n): p = [2] for i in range(3, n, 2): if all(i%j!=0 for j in p): p.append(i) return p p = get_prime(x) while True: for prime in p: if x%prime == 0: ...
p02819
x = int(eval(input())) num = 2 # 素数リスト prime_list = [] while True: # 取り出した数字が素数リストの要素で割れなければ素数リストに追加する if all(num % prime != 0 for prime in prime_list): prime_list.append(num) if num >= x: break num += 1 print(num)
x = int(eval(input())) import random def is_prime3(q, k=50): q = abs(q) # 計算するまでもなく判定できるものははじく if q == 2: return True if q < 2 or q & 1 == 0: return False # n-1=2^s*dとし(但しaは整数、dは奇数)、dを求める d = (q - 1) >> 1 while d & 1 == 0: d >>= 1 # 判定をk回繰り返す for i in ra...
p02819
import math x = int(eval(input())) def is_prime(n): if n == 1: return False for k in range(2, int(math.sqrt(n)) + 1): if n % k == 0: return False return True i = x while not is_prime(i): i += 1 print(i)
import math x = int(eval(input())) def is_prime(n: int) -> bool: if n == 1: return False for k in range(2, int(math.sqrt(n)) + 1): if n % k == 0: return False return True while True: if is_prime(x): break x += 1 print(x)
p02819
import sys def solve(): readline = sys.stdin.buffer.readline mod = 10 ** 9 + 7 x = int(readline()) for i in range(x, 10 ** 10): b = True for j in range(2, int(i ** 0.5) + 1): if i % j == 0: b = False break if b: ...
import sys def solve(): input = sys.stdin.readline mod = 10 ** 9 + 7 x = int(input().rstrip('\n')) for i in range(x, 10 ** 10): b = True for j in range(2, int(i ** 0.5) + 1): if i % j == 0: b = False break if b: ...
p02819
def miller_rabin(n, k=10000): import random if n == 2: return True if n == 1 or n & 1 == 0: return False d = (n - 1) >> 1 while d & 1 == 0: d >>= 1 for _ in range(k): a = random.randint(1, n - 1) t = d y = pow(a, t, n) while t ...
def miller_rabin(n, k=100): import random if n == 2: return True if n == 1 or n & 1 == 0: return False d = (n - 1) >> 1 while d & 1 == 0: d >>= 1 for _ in range(k): a = random.randint(1, n - 1) t = d y = pow(a, t, n) while t !=...
p02819
x = int(eval(input())) while True: if all(x % i != 0 for i in range(2, x)): print(x) exit() else: x+=1
def is_prime(n): for i in range(2, int(n**0.5)+1): if n % i == 0: return False return True x = int(eval(input())) while True: if is_prime(x): print(x) exit() x+=1
p02819
x=int(eval(input())) def primeddx(x): for i in range(2,x): if x%i==0: return False return True while not primeddx(x): x+=1 print(x)
x=int(eval(input())) def primeddx(x): for i in range(2,int(x**0.5)): if x%i==0: return False return True while not primeddx(x): x+=1 print(x)
p02819
def isPrime(n): # 素数判定 if n < 2: return False for i in range(2, n + 1): if n < i ** 2: break if n % i == 0: return False return True def main(): X = int(eval(input())) while True: if isPrime(X): print(X) ...
def isPrime(n): # 素数判定 if n == 2: return True if n < 2 or n % 2 == 0: return False m = 3 while m * m <= n: if n % m == 0: return False m += 2 return True def main(): X = int(eval(input())) while True: if isPrime(X): ...
p02819
n=int(eval(input())) if n==2: print((2)) exit() prime_list=[2] for i in range(3,1000000,2): if all(i%prime!=0 for prime in prime_list): if i<n: prime_list.append(i) else: print(i) exit()
n=int(eval(input())) if n==2: print((2)) exit() prime_list=[2, 3, 5, 7, 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, 26...
p02819
s = int(eval(input())) if s <= 2: print((2)) exit() elif s <= 3: print((3)) exit() elif s <= 5: print((5)) exit() while True: for i in range(2,s // 2): if s % i == 0: break if i == s //2 -1: print(s) exit() s += 1
##C X = int(eval(input())) ##素数かどうか判定 from math import sqrt def is_prime(n): for i in range(2, int(sqrt(n))): if n % i == 0: return False else: return True while (not is_prime(X)): X += 1 print(X)
p02819
import sys def input(): return sys.stdin.readline().rstrip() def prime_list(n): primes = set(range(2, n+1)) for i in range(2, int(n**0.5+1)): primes-=set(range(i*2, n+1, i)) return list(primes) def main(): x=int(eval(input())) primes = prime_list(100010) for p in primes: ...
import sys def input(): return sys.stdin.readline().rstrip() import math def is_prime(n): if n==1:return False for k in range(2,int(math.sqrt(n))+1): if n%k==0: return False return True def main(): x=int(eval(input())) while True: if is_prime(x)==True: ...
p02819
n = int(eval(input())) s = {2} #for i in range(3, n, 2): z = 2 i = 3 while z < n: x = 1 for j in s: if i % j == 0: x = 0 break if x: z = i s.add(i) i += 2 print(z)
n = int(eval(input())) def isprime(x): for i in range(2, int(x**0.5), 1): if x % i == 0: return False return True i = n while True: if isprime(i): break else: i += 1 print(i)
p02819
import bisect X = int(eval(input())) N = [2, 3, 5, 7, 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...
import math def is_prime(n): if n == 1: return False for k in range(2, int(math.sqrt(n))+1): if n % k == 0: return False return True X=int(eval(input())) p = X while(not is_prime(p)): p += 1 print(p)
p02819
X = int(eval(input())) def primes(n): is_prime = [True] * (n + 1) is_prime[0] = False is_prime[1] = False for i in range(2, int(n**0.5) + 1): if not is_prime[i]: continue for j in range(i * 2, n + 1, i): is_prime[j] = False return [i for i in range(n...
X = int(eval(input())) def is_prime(x): flag = True for i in range(2,int(x**(0.5))+1): if x % i == 0: flag = False return flag for i in range(X,2*X+1): if is_prime(i): print(i) break
p02819
import sys from collections import deque #import numpy as np import math #sys.setrecursionlimit(10**6) def S(): return sys.stdin.readline().rstrip() def SL(): return list(map(str,sys.stdin.readline().rstrip().split())) def I(): return int(sys.stdin.readline().rstrip()) def IL(): return list(map(int,sys.stdin.re...
import sys from collections import deque #import numpy as np import math #sys.setrecursionlimit(10**6) def S(): return sys.stdin.readline().rstrip() def SL(): return list(map(str,sys.stdin.readline().rstrip().split())) def I(): return int(sys.stdin.readline().rstrip()) def IL(): return list(map(int,sys.stdin.re...
p02819
x = int(eval(input())) while True: n = 0 for i in range(2, x): if x % i == 0: n += 1 if n != 0: x += 1 else: break print(x)
x = int(eval(input())) while True: judge = False for i in range(2, x): if x % i == 0: judge = True break if judge: x += 1 else: break print(x)
p02819
def get_sieve_of_eratosthenes(n): if not isinstance(n, int): raise TypeError('n is int type.') if n < 2: raise ValueError('n is more than 2') prime = [2] limit = int(n**0.5) data = [i + 1 for i in range(2, n, 2)] while True: p = data[0] if limit <= p: ...
def is_prime(n): i = 2 while(i**2 <= n): if n % i == 0: return False i += 1 return True def main(): X = int(eval(input())) for x in range(X, 2*X): if is_prime(x): print(x) break if __name__ == "__main__": main()
p02819
from collections import deque X = int(eval(input())) nums = deque([i for i in range(3, 10**5+10, 2)]) prime = 2 while prime < X: prime = nums.popleft() nums = deque([i for i in nums if i % prime != 0]) print(prime)
X = int(eval(input())) def check(num): max_div = int(num**0.5) for div in range(2, max_div+1): if num % div == 0: return False else: return True num = X while True: if check(num): print(num) break num += 1
p02819
from bisect import bisect_left def get_primes(n): prime = [] limit = n ** 0.5 data = [i + 1 for i in range(1, n)] while True: p = data[0] if limit <= p: return prime + data prime.append(p) data = [e for e in data if e % p != 0] X = int(eval(...
X = int(eval(input())) while any(X % i == 0 for i in range(2, int(X ** 0.5) + 1)): X += 1 print(X)
p02819
def get_primes(x): if x < 2: return list() primes = [2] n = 3 while n <= x: is_prime = True for p in primes: if n % p == 0: is_prime = False break if p**2 > n: break if is_prime: ...
def is_prime(x): if x <= 1: return False elif x == 2: return True else: n = 2 while n**2 <= x: if x % n == 0: return False n += 1 return True def main(): X = int(eval(input())) while True: if i...
p02819
X = int(eval(input())) Y = 0 while Y == 0: Y = 1 for i in range(2,X-1): Y = Y * (X % i) X += 1 print((X-1))
X = int(eval(input())) Y = 0 while Y == 0: Y = 1 for i in range(2,int(X*0.5+1)): Y = Y * (X % i) X += 1 print((X-1))
p02819
#%% import math # 素数判定関数 def isPrime(num): # 2未満の数字は素数ではない if num < 2: return False # 2は素数 elif num == 2: return True # 偶数は素数ではない elif num % 2 == 0: return False # 3 ~ numまでループし、途中で割り切れる数があるか検索 # 途中で割り切れる場合は素数ではない for i in range(3, math.floor(math.sqrt(num))+1, 2): ...
#%% import math # 素数判定関数 def isPrime(num): # 2未満の数字は素数ではない if num < 2: return False # 2は素数 elif num == 2: return True # 偶数は素数ではない elif num % 2 == 0: return False # 3 ~ numまでループし、途中で割り切れる数があるか検索 # 途中で割り切れる場合は素数ではない for i in range(3, math.floor(math.sqrt(num))+1, 2): ...
p02819
def is_prime(a): if a == 2: return True for i in range(2, int(a**0.5)+2): if a%i == 0: return False return True X = int(eval(input())) for i in range(X, 100004): if is_prime(i): print(i) break
def is_prime(a): for i in range(2, int(a**0.5)+1): if a%i == 0: return False return True X = int(eval(input())) for i in range(X, 100004): if is_prime(i): print(i) break
p02819
x=int(eval(input())) count=0 n=1 while True: n+=1 ans=True for i in range(2,int(x**0.5)): if n%i==0: ans=False if ans and n>=x: print(n) break
x=int(eval(input())) count=0 n=1 while True: n+=1 ans=True for i in range(2,int(x**0.5)): if n%i==0: ans=False break if ans and n>=x: print(n) break
p02819
m = int(eval(input())) if m <= 2 : print('2') else: n = 10**6 primes = set(range(2, n+1)) for i in range(2, int(n**0.5+1)): primes.difference_update(list(range(i*2, n+1, i))) primes=list(primes) for i in range(len(primes)-1): if primes[i] < m and m <= primes[i+1]: print((primes[...
m = int(eval(input())) if m <= 2 : print('2') else: n = 2*10**5 primes = set(range(2, n+1)) for i in range(2, int(n**0.5+1)): primes.difference_update(list(range(i*2, n+1, i))) primes=list(primes) for i in range(len(primes)-1): if primes[i] < m and m <= primes[i+1]: print((prime...
p02819
def c_next_prime(): from bisect import bisect_left X = int(eval(input())) def prime_table(n): """n以下の素数のリスト(エラトステネスの篩)""" is_prime = [True] * (n + 1) is_prime[0] = is_prime[1] = False # 0と1は素数でない for j in range(2, int(n**0.5) + 1): if not is_prime[j]: ...
def c_next_prime(): from bisect import bisect_left X = int(eval(input())) def prime_table(n): """n以下の素数のリスト(エラトステネスの篩)""" is_prime = [True] * (n + 1) is_prime[0] = is_prime[1] = False # 0と1は素数でない for j in range(2, int(n**0.5) + 1): if not is_prime[j]: ...
p02819
import math X = int(eval(input())) def get_primenumber(number): prime_list = [] #2からnumberまでの数字をsearch_listに入れる search_list = list(range(2,number+1)) while True: #search_listの先頭の値が√nの値を超えたら処理終了 if search_list[0] > math.sqrt(number): #prime_listにsearch_listを結合 prime_...
import math X = int(eval(input())) def f(X): if X <= 1: return False for i in range(2, int(math.sqrt(X))+1): if X%i==0: return False return True while not f(X): X += 1 print(X)
p02819
import sys import bisect read = sys.stdin.buffer.read readline = sys.stdin.buffer.readline readlines = sys.stdin.buffer.readlines sys.setrecursionlimit(500000) n = int(read()) n_ = 5*10**5 primes = set(range(2, n_+1)) for i in range(2, int(n_**0.5+1)): primes.difference_update(list(range(i*2, n_+1, i)...
import sys import math read = sys.stdin.buffer.read readline = sys.stdin.buffer.readline readlines = sys.stdin.buffer.readlines sys.setrecursionlimit(500000) n = int(read()) def is_prime(n): if n == 1: return False for k in range(2, int(math.sqrt(n)) + 1): if n % k == 0: ret...
p02819
import sys from bisect import bisect_left read = sys.stdin.read readline = sys.stdin.readline readlines = sys.stdin.readlines sys.setrecursionlimit(10 ** 9) INF = 1 << 60 MOD = 1000000007 def prime_numbers(n): if n < 2: return [] m = (n + 1) // 2 p = [1] * m for i in range(1...
import sys from bisect import bisect_left read = sys.stdin.read readline = sys.stdin.readline readlines = sys.stdin.readlines sys.setrecursionlimit(10 ** 9) INF = 1 << 60 MOD = 1000000007 def is_prime(n): if n == 1: return False for i in range(2, int(n ** 0.5) + 1): if n % i ==...
p02819
x = int(eval(input())) num = 0 for i in range(x,x*2): for j in range(2,x//2): if i%j == 0: num += 1 continue if num == 0: print(i) exit(0) num = 0
import math x = int(eval(input())) for i in range(x, x * 2): flag = True for j in range(2, math.floor(math.sqrt(x))+1): if i % j == 0: flag = False break if flag: print(i) exit(0)
p02819
import math x = int(eval(input())) prms = [] n = 2 while True: is_prm = True for prm in prms: if n % prm == 0: is_prm = False break if is_prm: prms.append(n) if n >= x: break n += 1 print(n)
import math x = int(eval(input())) prm_dict = {i: True for i in range(2, 100004)} for n in range(2, 100004): if prm_dict[n]: if n >= x: break for nk in range(n * 2, 100004, n): prm_dict[nk] = False print(n)
p02819