{"product_id":"mersenne-numbers-and-fermat-numbers-hardcover","title":"Mersenne Numbers and Fermat Numbers - Hardcover","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eElena Deza\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis 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.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eIn Mathematics, a Mersenne number (named after Marin Mersenne, who studied them in the early 17-th century) is a number of the form \u003cem\u003eM\u003c\/em\u003e\u003csub\u003e\u003cem\u003en\u003c\/em\u003e\u003c\/sub\u003e = 2\u003csup\u003e\u003cem\u003en\u003c\/em\u003e\u003c\/sup\u003e - 1 for positive integer \u003cem\u003en\u003c\/em\u003e.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eIn Mathematics, a Fermat number (named after Pierre de Fermat who first studied them) is a positive integer of the form \u003cem\u003eF\u003c\/em\u003e\u003csub\u003e\u003cem\u003en\u003c\/em\u003e\u003c\/sub\u003e\u003cem\u003e = 2\u003c\/em\u003e\u003csup\u003e\u003cem\u003ek\u003c\/em\u003e\u003c\/sup\u003e\u003cem\u003e+ 1\u003c\/em\u003e, \u003cem\u003ek=2\u003c\/em\u003e\u003csup\u003e\u003cem\u003en\u003c\/em\u003e\u003c\/sup\u003e, where \u003cem\u003en\u003c\/em\u003e is a non-negative integer.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eMersenne 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.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 328\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.75 x 9 x 6 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e July 29, 2021\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":47337018949881,"sku":"9789811230318","price":174.96,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0789\/2782\/3097\/files\/NUswTXdsN1RGSkxRUjZuZ29naG0rUT09.webp?v=1769674595","url":"https:\/\/bookscloud.io\/products\/mersenne-numbers-and-fermat-numbers-hardcover","provider":"BooksCloud Book Dropshipping","version":"1.0","type":"link"}