Mersenne Numbers And Fermat Numbers

Mersenne and Fermat numbers are two classes of special numbers with many properties, such as being prime and having arithmetic connections. They have a long and rich history and have numerous modern applications, and there are still many open problems in the theory. This book provides 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.

\n Format: Hardback
\n Length: 328 pages
\n Publication date: 24 August 2021
\n Publisher: World Scientific Publishing Co Pte Ltd
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In the realm of mathematics, a Mersenne number holds a special place, named after Marin Mersenne, who delved into its study during the early 17th century. These numbers take the form Mn = 2n - 1, where n is a positive integer. On the other hand, Fermat numbers, named after Pierre de Fermat, are positive integers of the form Fn = 2k + 1, where k is a non-negative integer. These numbers possess a rich and fascinating history, intertwined with various branches of mathematics, including perfect numbers, the construction of regular polygons, and more. Their enduring appeal lies in their numerous modern applications, ranging from cryptography to computer science. Moreover, the long list of open problems associated with Mersenne and Fermat numbers continues to captivate mathematicians and enthusiasts alike, offering a broad perspective on the Theory of these two classes of special numbers. Whether you are a professional or a general audience, exploring the world of Mersenne and Fermat numbers is a journey filled with endless possibilities and intellectual stimulation.

\n Weight: 606g\n
Dimension: 160 x 238 x 24 (mm)\n
ISBN-13: 9789811230318\n \n