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MERSENNE NUMBERS AND FERMAT NUMBERS IBD

ELENA DEZA
WSPC
07 / 2021
9789811230318
Inglés

Sinopsis

This book contains a complete detailed description of two classes of special numbers closely related to classical problems of the Theory of Primes. There is also extensive discussions of applied issues related to Cryptography.In Mathematics, a Mersenne number (named after Marin Mersenne, who studied them in the early 17-th century) is a number of the formáMná= 2ná- 1 for positive integerán.In Mathematics, a Fermat number (named after Pierre de Fermat who first studied them) is a positive integer of the formáFná= 2k+ 1,ák=2n, whereánáis a non-negative integer.Mersenne and Fermat numbers have many other interesting properties. Long and rich history, many arithmetic connections (with perfect numbers, with construction of regular polygons etc.), numerous modern applications, long list of open problems allow us to provide a broad perspective of the Theory of these two classes of special numbers, that can be useful and interesting for both professionals and the general audience.