Research on the Distribution of MersennePrimes Based on Zhou’s Conjecture

Wenlong DU, Bin SHEN, Yongqing ZHANG

Abstract


This paper presents an approximate expression of the number of Mersenne primes on the basis of Zhou’s conjecture, predicts the position of each Mersenne prime, and compares the number of Mersennes primes derived from this expression to the number of Mersennes primes derived from actual values and the four existing approximate expressions.


Keywords


Mersenne primes; Zhou’s conjecture; Distribution; Approximate expression

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References


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DOI: http://dx.doi.org/10.3968/3976

DOI (PDF): http://dx.doi.org/10.3968/g6166

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