Forum: Factoring
2021-04-20, 17:42
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Replies: 23
Views: 591
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Forum: Miscellaneous Math
2021-04-19, 20:26
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Replies: 26
Views: 533
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Forum: Homework Help
2021-04-19, 11:36
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Replies: 9
Views: 174
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Forum: Homework Help
2021-04-18, 14:14
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Replies: 9
Views: 174
(a+b)^2 means A*B where A=B=a+b ...
(a+b)^2 means A*B where A=B=a+b
(a+b)*(a+b)=a*(a+b)+b*(a+b) with right distribution
a*(a+b)+b*(a+b)=a^2+a*b+b*a+b^2 with two applications of left distribution
The desired result follows...
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Forum: Homework Help
2021-04-18, 13:15
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Replies: 9
Views: 174
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Forum: Miscellaneous Math
2021-04-15, 11:39
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Replies: 9
Views: 227
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Forum: Miscellaneous Math
2021-04-09, 19:21
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Replies: 35
Views: 687
Whatever you do with 1+1+1+..+1+2 selfridges...
Whatever you do with 1+1+1+..+1+2 selfridges there will always be counterexamples if you allow a free parameter. I am not saying there will not exist counterexamples for 1+1+1..+1+2+2 -- they are...
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Forum: Miscellaneous Math
2021-04-09, 00:41
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Replies: 35
Views: 687
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Forum: Miscellaneous Math
2021-04-06, 14:35
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Replies: 35
Views: 687
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Forum: Miscellaneous Math
2021-04-03, 23:47
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Replies: 35
Views: 687
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Forum: Tales From the Crypt(o)
2021-04-03, 21:55
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Replies: 280
Views: 67,777
Our beloved leader (in the UK) is going to...
Our beloved leader (in the UK) is going to propose "Covid Passports", a Chinese-like control of the population surreptitiously under the guise of "using every tool in the toolbox to restore the...
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Forum: Factoring
2021-04-02, 20:31
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Replies: 23
Views: 591
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Forum: Factoring
2021-04-01, 19:45
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Replies: 23
Views: 591
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Forum: GPU Computing
2021-03-22, 14:10
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Replies: 3
Views: 367
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Forum: Miscellaneous Math
2021-03-18, 21:53
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Replies: 118
Views: 24,173
odd r
Let a=2^r, r odd and minimal such that kronecker(a^2-1,n)==-1
Test1. Mod(a^2-1.n)^((n-1)/2)==-1
Test2. Mod(Mod(2*x,n),x^2-2*a*a+1)^((n+1)/2)==2*kronecker(a+1)
Interestingly counterexamples...
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Forum: Miscellaneous Math
2021-03-18, 19:41
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Replies: 118
Views: 24,173
If n = 2^s+-3, letting b = 5 would mean 2^s-2...
If n = 2^s+-3, letting b = 5 would mean 2^s-2 would okay for a base or 2^s -8 would also be okay for a base, since neither are powers ;
of 2. So apart from these corner cases taking b=3 should be...
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Forum: Miscellaneous Math
2021-03-18, 06:24
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Replies: 118
Views: 24,173
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Forum: Miscellaneous Math
2021-03-17, 11:07
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Replies: 58
Views: 1,407
http://www.numbertheory.org/ntw/N6.html
...
http://www.numbertheory.org/ntw/N6.html
http://www.numbertheory.org/ntw/N7.html
Why do you not attach it here at MeresenneForum first? At least we can advise you on spelling and typographic...
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Forum: Software
2021-03-15, 22:20
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Replies: 13
Views: 407
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Forum: Software
2021-03-15, 20:53
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Replies: 13
Views: 407
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Forum: GPU Computing
2021-03-15, 20:39
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Replies: 365
Views: 63,338
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Forum: And now for something completely different
2021-03-15, 16:58
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Replies: 48
Views: 17,000
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Forum: Miscellaneous Math
2021-03-14, 14:25
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Replies: 118
Views: 24,173
No, it was not the question at the beginning of...
No, it was not the question at the beginning of the topic.
With only 51 known Mersenne prime < ~25 million digits and your condition being neccesary, we will probably never know of a contradiction...
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Forum: Miscellaneous Math
2021-03-14, 11:33
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Replies: 118
Views: 24,173
Have you noticed that for prime Mp then...
Have you noticed that for prime Mp then 3^((Mp-1)/p)==2^r mod Mp for some r? Here 3 is not special. It works for all bases.
Anyway this thread was about working (mod n, f) where f is a quadratic...
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Forum: Other Mathematical Topics
2021-03-11, 19:31
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Replies: 27
Views: 839
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