Authors: Pingyuan Zhou
Abstract: In this paper we conjecture that there is no Mersenne number M(p)=2^p-1 to be prime for p=2^k±1,±3 when k>7, where p is positive integer and k is natural number. It is called the simple Mersenne conjecture and holds till p≤30402457 from status of this conjecture. If the conjecture is true then there are no more double Mersenne primes besides known double Mersenne primes MM(2), MM(3), MM(5), MM(7).
Comments: 9 Pages. Author presents a conjecture called the simple Mersenne conjecture, which may imply there are no more double Mersenne primes.
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[v1] 2014-07-05 22:49:54
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