Some Notes on the Distribution of Mersenne Primes

Sibao Zhang; Xiaocheng Ma; Lihang Zhou

doi:10.4236/am.2010.14041

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Applied Mathematics > Vol.1 No.4, October 2010

Some Notes on the Distribution of Mersenne Primes ()

Sibao Zhang, Xiaocheng Ma, Lihang Zhou

DOI: 10.4236/am.2010.14041 PDF HTML 4,746 Downloads 9,020 Views Citations

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.

Keywords

Mersenne Primes, Distribution, Zhou Conjecture, Number Theory

Share and Cite:

S. Zhang, X. Ma and L. Zhou, "Some Notes on the Distribution of Mersenne Primes," Applied Mathematics, Vol. 1 No. 4, 2010, pp. 312-315. doi: 10.4236/am.2010.14041.

Conflicts of Interest

The authors declare no conflicts of interest.

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