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Prime Numbers and Computer Methods for Factorization

Prime Numbers and Computer Methods for Factorization

Hans Riesel

120,71 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2011
Materia
Seguridad informática
ISBN:
9780817682972
120,71 €
IVA incluido
Disponible

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Sobre IBD

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 Residues.- Appendix 4. The Arithmetic of Quadratic Fields.- Appendix 5. Higher Algebraic Number Fields.- Appendix 6. Algebraic Factors.- Appendix 7. Elliptic Curves.- Appendix 8. Continued Fractions.- Appendix 9. Multiple-Precision Arithmetic.- Appendix 10. Fast Multiplication of Large Integers.- Appendix 11. The Stieltjes Integral.- Tables.- List of Textbooks.- Index.​

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Otros libros del autor

  • Prime Numbers and Computer Methods for Factorization
    Hans Riesel
    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 nu...
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  • Prime Numbers and Computer Methods for Factorization
    Hans Riesel
    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.- ...