Congruence Properties of Mersenne Primes
Number Theory
2011-12-14 v2
Abstract
In this research paper, relationship between every Mersenne prime and certain Natural numbers is explored. We begin by proving that every Mersenne prime is of the form {4n + 3,for some integer 'n'} and generalize the result to all powers of 2. We also tabulate and show their relationship with other whole numbers up to 10. A number of minor results are also proved. Based on these results, approaches to determine the cardinality of Mersenne primes are discussed.
Keywords
Cite
@article{arxiv.1112.2348,
title = {Congruence Properties of Mersenne Primes},
author = {M. S. Srinath and Garimella Rama Murthy and V. Chandrasekharan},
journal= {arXiv preprint arXiv:1112.2348},
year = {2011}
}