Number Theory

    

The Connection Between the Wilson’s Theorem and the Lenstra-Pomerance-Wagstaff Conjecture

Authors: R. Daoudi

A Mersenne number M_n is defined such as M_n = 2^n−1 and a Mersenne prime is theform of M_p = 2^p − 1 where p is a prime number.Lenstra, Pomerance and Wagstaff (called LPW conjecture) have conjectured that there areinfinite many Mersenne primes. According to them there are many infinite Mersenne primesof the form M_p = 2^p − 1 for some prime p.In this paper I try to reformulate the LPW conjecture using the Wilson’s theorem.

Comments: 4 Pages.

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Submission history

[v1] 2023-02-07 01:51:17
[v2] 2023-02-07 14:04:25

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