Mersenne Primes Cardinality

by Open Science Repository Mathematics
(May 2013)


This article is concerned with basic number theory. Our purpose is to show that there are infinitely many Mersenne prime numbers; for this, we shall use, some known theorems or results in arithmetic and Cantorian set theory.

Keywords: prime, Mersenne’s primes, Euclid’s theorem, Cantor’s theorem, Schröder-Bernstein’s theorem, Pomerance’s theorem.

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Mersenne Primes Cardinality

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