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arXiv · 1112.2348

Congruence Properties of Mersenne Primes

M. S. Srinath·Garimella Rama Murthy·V. Chandrasekharan
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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.

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M. S. Srinath, Garimella Rama Murthy, V. Chandrasekharan. 2011-12-13. Congruence Properties of Mersenne Primes. https://arxiv.org/abs/1112.2348

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