Ebook: Prime numbers and computer methods for factorization

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.ai