"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...

Full description

Bibliographic Details

Main Author:	Deza, Elena (Author)
Format:	Electronic eBook
Language:	English
Published:	Singapore World Scientific 2021
Series:	Selected chapters of number theory: special numbers vol. 1
Subjects:	Numbers, Prime Fermat-Zahl Mersenne-Zahl Electronic books
Online Access:	Volltext
Summary:	"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 17th century) is a number of the form Mn = 2n - 1 for positive integer n. In Mathematics, a Fermat number (named after Pierre de Fermat who first studied them) is a positive integer of the form Fn = 2k+ 1, k=2n, where n is 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."--
Physical Description:	1 Online-Ressource (328 Seiten)
ISBN:	9789811230325 9811230323
DOI:	10.1142/12100