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 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.
General
Imprint: |
World Scientific Publishing Co Pte Ltd
|
Country of origin: |
Singapore |
Series: |
Selected Chapters Of Number Theory: Special Numbers, 1 |
Release date: |
August 2021 |
First published: |
2022 |
Authors: |
Elena Deza
|
Dimensions: |
160 x 238 x 24mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
328 |
ISBN-13: |
978-981-12-3031-8 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Number theory >
General
|
LSN: |
981-12-3031-5 |
Barcode: |
9789811230318 |
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