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help-10
b8f8ede7a0bf4867a8c7684182754127
583,177,990,947,471,400
DevilKing06
03/20/2022 14:41:12
hmm
1
0
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help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:42:38
So, then the zeroes are just whatever we subtract from x in each of the linear factors.
0
1
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:42:50
So, in x + sqrt(5), we subtract -sqrt(5), so that's one zero.
0
1
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:42:59
And the other two are sqrt(5) and 3sqrt(5).
0
1
null
null
null
null
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1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
583,177,990,947,471,400
DevilKing06
03/20/2022 14:43:22
ty sire
1
0
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
583,177,990,947,471,400
DevilKing06
03/20/2022 14:43:27
you are god
1
0
null
null
null
null
null
1,370
help-10
b8f8ede7a0bf4867a8c7684182754127
537,482,727,557,955,600
Chai T. Rex
03/20/2022 14:43:33
You're welcome.
0
1
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null
null
null
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help-10
b8f8ede7a0bf4867a8c7684182754127
583,177,990,947,471,400
DevilKing06
03/20/2022 14:43:39
.close
1
0
null
null
null
null
null
1,371
help-10
fcb3139a0ad047e4ae74e8fcd01877a0
716,505,727,367,249,900
your brother
03/20/2022 14:49:28
How do I do this
https://cdn.discordapp.c…77364/image0.jpg
image0.jpg
1
0
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null
null
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help-10
fcb3139a0ad047e4ae74e8fcd01877a0
716,505,727,367,249,900
your brother
03/20/2022 14:50:17
It’s side length is 10cm
1
0
null
null
null
null
null
1,371
help-10
fcb3139a0ad047e4ae74e8fcd01877a0
485,903,210,272,391,200
dldh06
03/20/2022 14:51:06
The removed area is a triangle, first find the area of the entire shape then subtract the removed areas
0
1
null
null
null
null
null
1,371
help-10
fcb3139a0ad047e4ae74e8fcd01877a0
716,505,727,367,249,900
your brother
03/20/2022 14:52:20
So 10*10=100 then 1*1/2=0.5 and 0.54=2 and 100-2=98
1
0
null
null
null
null
null
1,371
help-10
fcb3139a0ad047e4ae74e8fcd01877a0
716,505,727,367,249,900
your brother
03/20/2022 14:52:22
?
1
0
null
null
null
null
null
1,371
help-10
fcb3139a0ad047e4ae74e8fcd01877a0
485,903,210,272,391,200
dldh06
03/20/2022 14:54:13
Can you retype that? Add surrounding \`\` to the multiplication doesn't italicize it `Like this`
0
1
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null
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help-10
fcb3139a0ad047e4ae74e8fcd01877a0
485,903,210,272,391,200
dldh06
03/20/2022 14:54:37
So it looks like \`Text\`
0
1
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null
null
null
null
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help-10
fcb3139a0ad047e4ae74e8fcd01877a0
716,505,727,367,249,900
your brother
03/20/2022 14:54:55
‘’10*10’’
1
0
537,482,727,557,955,600
Chai T. Rex
7323
Chai T. Rex
false
1,371
help-10
fcb3139a0ad047e4ae74e8fcd01877a0
716,505,727,367,249,900
your brother
03/20/2022 14:55:11
1*1/2
1
0
null
null
null
null
null
1,371
help-10
fcb3139a0ad047e4ae74e8fcd01877a0
716,505,727,367,249,900
your brother
03/20/2022 14:55:22
5*4
1
0
null
null
null
null
null
1,371
help-10
fcb3139a0ad047e4ae74e8fcd01877a0
220,517,274,845,577,200
ramonov
03/20/2022 14:55:30
shift ~, top left of your keyboard
0
1
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null
null
null
null
1,371
help-10
fcb3139a0ad047e4ae74e8fcd01877a0
220,517,274,845,577,200
ramonov
03/20/2022 14:56:13
writing `\` before the * like `\*` also works
0
1
null
null
null
null
null
1,371
help-10
fcb3139a0ad047e4ae74e8fcd01877a0
220,517,274,845,577,200
ramonov
03/20/2022 14:56:38
discord tends to italicise stuff between asteriska
0
1
null
null
null
null
null
1,371
help-10
fcb3139a0ad047e4ae74e8fcd01877a0
716,505,727,367,249,900
your brother
03/20/2022 14:57:32
Nvm I got it sorry I opened this
1
0
null
null
null
null
null
1,371
help-10
fcb3139a0ad047e4ae74e8fcd01877a0
716,505,727,367,249,900
your brother
03/20/2022 14:57:36
Thanks tho
1
0
null
null
null
null
null
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help-10
fcb3139a0ad047e4ae74e8fcd01877a0
716,505,727,367,249,900
your brother
03/20/2022 14:57:40
.cose
1
0
null
null
null
null
null
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help-10
fcb3139a0ad047e4ae74e8fcd01877a0
716,505,727,367,249,900
your brother
03/20/2022 14:57:49
.close
1
0
null
null
null
null
null
1,372
help-10
2dc575580d604d60833fe3d5359faf48
667,127,638,065,676,300
Аdriаn Sheрhаrd
03/20/2022 15:01:11
solve the following matrix equation
1
0
null
null
null
null
null
1,372
help-10
2dc575580d604d60833fe3d5359faf48
667,127,638,065,676,300
Аdriаn Sheрhаrd
03/20/2022 15:01:13
https://cdn.discordapp.c…7654/unknown.png
unknown.png
1
0
null
null
null
null
null
1,372
help-10
2dc575580d604d60833fe3d5359faf48
667,127,638,065,676,300
Аdriаn Sheрhаrd
03/20/2022 15:01:17
am i on the right path?
1
0
null
null
null
null
null
1,372
help-10
2dc575580d604d60833fe3d5359faf48
186,109,587,366,215,680
Omegabet_
03/20/2022 15:02:07
Is C invertible?
0
1
null
null
null
null
null
1,372
help-10
2dc575580d604d60833fe3d5359faf48
667,127,638,065,676,300
Аdriаn Sheрhаrd
03/20/2022 15:02:15
yeah
1
0
null
null
null
null
null
1,372
help-10
2dc575580d604d60833fe3d5359faf48
186,109,587,366,215,680
Omegabet_
03/20/2022 15:02:18
then yes
0
1
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null
null
null
null
1,372
help-10
2dc575580d604d60833fe3d5359faf48
667,127,638,065,676,300
Аdriаn Sheрhаrd
03/20/2022 15:02:31
thanks!
1
0
null
null
null
null
null
1,372
help-10
2dc575580d604d60833fe3d5359faf48
667,127,638,065,676,300
Аdriаn Sheрhаrd
03/20/2022 15:02:32
.close
1
0
null
null
null
null
null
1,373
help-10
c133fd7cdc914a71a068669d4662ac13
585,841,406,803,968,000
Fuzzy_Alpaca
03/20/2022 15:13:39
Pointers? Can’t figure out a way to connect 2m and 2m+2 when I plug in m+1
https://cdn.discordapp.c…112/IMG_1578.png
IMG_1578.png
1
0
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help-10
c133fd7cdc914a71a068669d4662ac13
585,841,406,803,968,000
Fuzzy_Alpaca
03/20/2022 15:16:05
In addition, when you plug in 0 for m, you get 1 for the even dimension equation which doesn’t make sense since 0 dimensions should have a volume of 0?
1
0
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help-10
c133fd7cdc914a71a068669d4662ac13
714,186,370,934,898,700
xihiro
03/20/2022 15:19:54
https://en.wikipedia.org/wiki/Volume_of_an_n-ball#Low_dimensions
0
1
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help-10
c133fd7cdc914a71a068669d4662ac13
585,841,406,803,968,000
Fuzzy_Alpaca
03/20/2022 15:21:57
Ok that explains the 0 dimension part, but what about the proving part. The article doesn’t have a reference to that
1
0
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null
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1,373
help-10
c133fd7cdc914a71a068669d4662ac13
714,186,370,934,898,700
xihiro
03/20/2022 15:24:26
dunno, sorry
0
1
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help-10
c133fd7cdc914a71a068669d4662ac13
585,841,406,803,968,000
Fuzzy_Alpaca
03/20/2022 15:26:24
@Helpers
1
0
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help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 16:56:24
Quick question: when will m(m-1200) be a perfect square
1
0
null
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1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
209,767,680,100,663,300
Kaisheng21
03/20/2022 17:09:44
try thinking about prime factorisation
0
1
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help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 17:15:05
I thought about it
1
0
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1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 17:15:07
Im stuck
1
0
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1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
551,807,466,631,987,200
Mat
03/20/2022 17:39:32
To start, maybe consider m^2-1200m-n^2=0 and find the determinant. We should impose it to be a perfect square
0
1
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null
null
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1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
551,807,466,631,987,200
Mat
03/20/2022 17:39:51
@Bello友
0
1
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null
null
null
1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 17:40:12
Ye i tried that
1
0
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1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
551,807,466,631,987,200
Mat
03/20/2022 17:40:16
m is an integer right?
0
1
667,127,638,065,676,300
Аdriаn Sheрhаrd
4015
Аdriаn Sheрhаrd
false
1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 17:40:16
Find the determinant?
1
0
null
null
null
null
null
1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 17:40:19
Yeah
1
0
null
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1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 17:40:25
M is a natural number
1
0
null
null
null
null
null
1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
551,807,466,631,987,200
Mat
03/20/2022 17:40:34
What did you get for it?
0
1
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help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 17:40:48
I didnt look for the determinant
1
0
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1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 17:41:16
Oh wait is it just the thing under the root
1
0
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null
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1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
551,807,466,631,987,200
Mat
03/20/2022 17:41:16
I am referring to "b^2-4ac"
0
1
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null
null
null
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1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 17:41:18
Ye ye
1
0
714,186,370,934,898,700
xihiro
2299
xihiro
false
1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 17:42:41
1440000 + 4n²
1
0
null
null
null
null
null
1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 17:42:53
Now i have to look at when this will be greater than 0 right
1
0
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null
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1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
551,807,466,631,987,200
Mat
03/20/2022 17:43:13
Isn't it (1200)^2+4n^2 ?
0
1
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1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 17:43:34
Oops yeah
1
0
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1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
551,807,466,631,987,200
Mat
03/20/2022 17:44:10
Ok, then we impose (1200)^2 + (2n)^2 = c^2, for some c That is a pythagorean triple
0
1
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1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 17:44:58
c must be a positive integer?
1
0
null
null
null
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1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
551,807,466,631,987,200
Mat
03/20/2022 17:46:07
Mm, I guess we can assume so, as it is squared
0
1
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1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 17:46:39
I mean c² must be a perfect square right?
1
0
327,794,296,877,219,840
Bello友
8818
Bello友
false
1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
551,807,466,631,987,200
Mat
03/20/2022 17:46:52
But then solutions will be in the form (1200 +- c)/2
0
1
null
null
null
null
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1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
551,807,466,631,987,200
Mat
03/20/2022 17:47:18
Well, c^2 is always a perfect square
0
1
null
null
null
null
null
1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
551,807,466,631,987,200
Mat
03/20/2022 17:47:39
It's (1200)^2 + (2n)^2 that needs to be a perfect square
0
1
null
null
null
null
null
1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 17:48:22
Yeah my statements mafe no sense
1
0
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1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 17:48:37
Wheres that coming from
1
0
null
null
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null
null
1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
551,807,466,631,987,200
Mat
03/20/2022 17:49:02
That is the quadratic formula
0
1
null
null
null
null
null
1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
551,807,466,631,987,200
Mat
03/20/2022 17:49:39
If (1200)^2 + (2n)^2=c^2, with c>=0, sqrt((1200)^2 + (2n)^2)=sqrt(c^2)=c
0
1
null
null
null
null
null
1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 17:50:55
I still dont see what i should be doing
1
0
null
null
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null
null
1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
551,807,466,631,987,200
Mat
03/20/2022 17:51:01
So, the question reduces to finding all pythagorean triples a,b,c such that a=1200 and b is even
0
1
null
null
null
null
null
1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 17:51:25
Oooooh
1
0
null
null
null
null
null
1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 17:51:26
Ye
1
0
null
null
null
null
null
1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 17:51:30
That makes sense
1
0
null
null
null
null
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1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 17:56:19
And now how can i find all the triplets
1
0
null
null
null
null
null
1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
551,807,466,631,987,200
Mat
03/20/2022 17:57:08
First, actually if we use the reduced quadratic formula we get something a little simplified m = 600 +- c (600)^2 + b^2 = c^2
0
1
null
null
null
null
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1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
551,807,466,631,987,200
Mat
03/20/2022 17:58:09
Is it correct?
0
1
null
null
null
null
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1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 17:58:22
Yessir
1
0
null
null
null
null
null
1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
551,807,466,631,987,200
Mat
03/20/2022 17:59:22
Good, then we may use this parametrization for primitive pythagorean triples, where m and n are coprime
0
1
null
null
null
null
null
1,374
help-10
920cce79c76c414e9ef258ae9ea994ef
551,807,466,631,987,200
Mat
03/20/2022 17:59:28
https://cdn.discordapp.c…2716/unknown.png
unknown.png
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help-10
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551,807,466,631,987,200
Mat
03/20/2022 17:59:42
You can find it here https://en.wikipedia.org/wiki/Pythagorean_triple
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help-10
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551,807,466,631,987,200
Mat
03/20/2022 18:00:25
The multply anything by some factor k to obtain also non primitive ones
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help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 18:01:50
Should i factor 600 now?
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help-10
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Bello友
03/20/2022 18:01:59
To get m and n
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help-10
920cce79c76c414e9ef258ae9ea994ef
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Bello友
03/20/2022 18:02:04
And then find all the triplets?
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Mat
9616
Mat
false
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help-10
920cce79c76c414e9ef258ae9ea994ef
551,807,466,631,987,200
Mat
03/20/2022 18:02:04
We swap a and b in the parametrization though
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help-10
920cce79c76c414e9ef258ae9ea994ef
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Bello友
03/20/2022 18:02:12
Yeah i see
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help-10
920cce79c76c414e9ef258ae9ea994ef
551,807,466,631,987,200
Mat
03/20/2022 18:02:23
Yes
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help-10
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Bello友
03/20/2022 18:02:35
Wait so b is 600 or 1200
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help-10
920cce79c76c414e9ef258ae9ea994ef
551,807,466,631,987,200
Mat
03/20/2022 18:02:44
We let 600=2mn
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help-10
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Bello友
03/20/2022 18:02:49
Ok
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help-10
920cce79c76c414e9ef258ae9ea994ef
551,807,466,631,987,200
Mat
03/20/2022 18:02:55
Oh wait
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help-10
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Bello友
03/20/2022 18:02:55
So i gotta factor 300
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help-10
920cce79c76c414e9ef258ae9ea994ef
551,807,466,631,987,200
Mat
03/20/2022 18:03:06
Actually we should already introduce k I guess
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help-10
920cce79c76c414e9ef258ae9ea994ef
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Bello友
03/20/2022 18:03:13
Uhh
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help-10
920cce79c76c414e9ef258ae9ea994ef
551,807,466,631,987,200
Mat
03/20/2022 18:03:25
https://cdn.discordapp.c…3712/unknown.png
unknown.png
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help-10
920cce79c76c414e9ef258ae9ea994ef
551,807,466,631,987,200
Mat
03/20/2022 18:03:43
So, 600 = 2kmn, where m and n are coprime
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help-10
920cce79c76c414e9ef258ae9ea994ef
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Bello友
03/20/2022 18:03:55
Cant i introduce k later?
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help-10
920cce79c76c414e9ef258ae9ea994ef
327,794,296,877,219,840
Bello友
03/20/2022 18:04:03
After i found all the possible pairs?
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