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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.
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.
| Erscheinungsjahr: | 2021 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Seiten: | 328 |
| ISBN-13: | 9789811230318 |
| ISBN-10: | 9811230315 |
| Sprache: | Englisch |
| Einband: | Gebunden |
| Autor: | Elena Deza |
| Hersteller: | World Scientific Publishing Company |
| Maße: | 235 x 157 x 22 mm |
| Von/Mit: | Elena Deza |
| Erscheinungsdatum: | 21.08.2021 |
| Gewicht: | 0,629 kg |
| Erscheinungsjahr: | 2021 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Seiten: | 328 |
| ISBN-13: | 9789811230318 |
| ISBN-10: | 9811230315 |
| Sprache: | Englisch |
| Einband: | Gebunden |
| Autor: | Elena Deza |
| Hersteller: | World Scientific Publishing Company |
| Maße: | 235 x 157 x 22 mm |
| Von/Mit: | Elena Deza |
| Erscheinungsdatum: | 21.08.2021 |
| Gewicht: | 0,629 kg |
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