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Forum: Miscellaneous Math 2022-07-17, 03:34
Replies: 43
Views: 8,580
Posted By sweety439
In fact, this not only holds for Mersenne...

In fact, this not only holds for Mersenne exponents, but also holds for lengths of repunits in any (positive or negative) base (see http://www.fermatquotient.com/PrimSerien/GenRepu.txt and...
Forum: Miscellaneous Math 2022-07-14, 02:19
Replies: 43
Views: 8,580
Posted By sweety439
Since for Sophie Germain primes p == 3 mod 4...

Since for Sophie Germain primes p == 3 mod 4 (except p=3), the Mersenne number 2^p-1 cannot be prime as 2^p-1 is always divisible by 2*p+1, and all Sophie Germain primes > 3 are == 2 mod 3, thus we...
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