Prime Numbers and Computer Methods for Factorization

Prime Numbers and Computer Methods for Factorization

Hans Riesel

108,41 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2012
ISBN:
9781461266815
108,41 €
IVA incluido
Disponible

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In the modern age of almost universal computer usage, practically every individual in a technologically developed society has routine access to the most up-to-date cryptographic technology that exists, the so-called RSA public-key cryptosystem. A major component of this system is the factorization of large numbers into their primes. Thus an ancient number-theory concept now plays a crucial role in communication among millions of people who may have little or no knowledge of even elementary mathematics. The independent structure of each chapter of the book makes it highly readable for a wide variety of mathematicians, students of applied number theory, and others interested in both study and research in number theory and cryptography.

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Otros libros del autor

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    Preface.- The Number of Primes Below a Given Limit.- The Primes Viewed at Large.- Subtleties in the Distribution of Primes.- The Recognition of Primes.- Classical Methods of Factorization.- Modern Factorization Methods.- Prime Numbers and Cryptography.- Appendix 1. Basic Concepts in Higher Algebra.- Appendix 2. Basic concepts in Higher Arithmetic.- Appendix 3. Quadratic Residue...
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    1. The Number of Primes Below a Given Limit.- What Is a Prime Number?.- The Fundamental Theorem of Arithmetic.- Which Numbers Are Primes? The Sieve of Eratosthenes.- General Remarks Concerning Computer Programs.- A Sieve Program.- Compact Prime Tables.- Hexadecimal Compact Prime Tables.- Difference Between Consecutive Primes.- The Number of Primes Below x.- Meissel’s Formula.- ...