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#1 2016-03-15 15:06:37

Primenumbers
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Registered: 2013-01-22
Posts: 127

Mersenne Prime Theorem

For a mersenne prime............

, all possible prime factors will =
where n= prime and m=any multiple..........

This will definitely work because of Fermat's little theorem

is always factorable by p, if p is prime and the fact that the pattern of remainders repeats itself so remainder 1 =
and n=(p-1)/m, and p=mn+1!!!

wink

Last edited by Primenumbers (2016-03-17 21:34:34)


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#2 2016-03-16 05:11:36

Nehushtan
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Registered: 2013-03-09
Posts: 885
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Re: Mersenne Prime Theorem

Primenumbers wrote:

, all possible prime factors will =
where n= prime and m=any multiple..........

This is just another way of stating Fermat's little theorem, nothing new.

The statement is clearly true for n = 2.

If n is an odd prime then


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#3 2016-03-16 21:37:31

Primenumbers
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Registered: 2013-01-22
Posts: 127

Re: Mersenne Prime Theorem

I don't get it. Why would.................

Nehushtan wrote:

prove that all possible prime factors will =mn+1..........................?

Last edited by Primenumbers (2016-03-17 21:36:07)


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#4 2016-04-23 21:39:55

googol
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From: Delft, The Netherlands
Registered: 2016-04-22
Posts: 13

Re: Mersenne Prime Theorem


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