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Mersenne composites and cyclotomic primes

The Mathematical Gazette, 2003
One of the long-standing problems of number theory, appealing to professional and recreational mathematicians alike, is the existence of Mersenne primes. These puzzling primes, for example 7, 31, 127 and 8191, are of the form 2 P - 1, where p is itself a prime.
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Infinitely Many Mersenne Primes

Preprint v1 — A proof that there exist infinitely many primes of the form 2^p - 1. Abstract redacted pending IP review. Full abstract and unrestricted access will be available in v2 upon completion of intellectual property proceedings.
openaire   +2 more sources

A Remark on the Primeness of Mersenne Numbers

Journal of the London Mathematical Society, 1953
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Decimal Expansion of Mersenne Primes

Mathematics of Computation, 1968
J. W. W., M. Lal
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A new cryptosystem using generalized Mersenne primes

SeMA Journal, 2015
Azizul Hoque, Hoque Azizul
exaly  

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