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has been cited by the following article:

• TITLE: Some Notes on the Distribution of Mersenne Primes

  AUTHORS: Sibao Zhang, Xiaocheng Ma, Lihang Zhou

  KEYWORDS: Mersenne Primes, Distribution, Zhou Conjecture, Number Theory

  JOURNAL NAME: Applied Mathematics, Vol.1 No.4, October 29, 2010

  ABSTRACT: Mersenne primes are a special kind of primes, which are always an important content in number theory. The study of Mersenne primes becomes one of hot topics of the nowadays science. It has not settled that whether there exist infinite Mersenne primes. And several of conjectures on the distribution of it provided by scholars. Starting from the Mersenne primes known about, in this paper we study the distribution of Mersenne primes and argued against some suppositions by data analyzing.