%0 Journal Article
%T Research on the Distribution of MersennePrimes Based on Zhou¡¯s Conjecture
%A Bin SHEN
%A Wenlong DU
%A Yongqing ZHANG
%J -
%D 2014
%R http://dx.doi.org/10.3968/3976 http://dx.doi.org/10.3968/g6166
%X 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.
%K Mersenne primes
%K Zhou¡¯s conjecture
%K Distribution
%K Approximate expression
%U http://cscanada.net/index.php/sms/article/view/3976