Title: A Conjecture of the 45th and the 46th Mersenne Primes
Abstract: By aid of the already known 44 Mersenne primes and application of non-linear fit,a conjecture on the distribu- tion of Mersenne primes is put porward that is the range of ln p in Mp is[0.396283124964472n—0.251065835613184, 0.396283124964472n+1.35704534737079].Further,the two sets of the possible numbers for the 45th and 46th Mersenne prime are thus worked out.
Publication Year: 2008
Publication Date: 2008-01-01
Language: en
Type: article
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