Preface, Introduction, Chapter 1. Fundamental algorithms, Chapter 2. Unique factorization, Chapter 3. Prime numbers, Chapter 4. Modular arithmetic, Chapter 5. Induction and Fermat, Chapter 6. Pseudoprimes, Chapter 7. Systems of Congruences, Chapter 8. Groups, Chapter 9. Mersenne and Fermat, Chapter 10. Primality tests and primitive roots, Chapter 11. The RSA cryptosystem, Coda, Appendix. Roots and powers, Bibliography, Index of the main algorithms, Index of the main results, Index