Preface to the Third Edition Preface to the Second Edition Preface to the First Edition Glossary of Symbols Introduction A.Prime Numbers A1.Prime values of quadratic functions. A2.Primes connected with factorials. A3.Mersenne primes.Repunits.Fermat numbers.Primes of shape k.2n+1. A4.The prime number race. A5.Arithmetic progressions of primes. A6.Consecutive primes in A.P. A7.Cunningham chains. A8.Gaps between primes. Twin primes. A9.Patterns of primes. A10.Gilbreath's conjeoture. A11.Increasing and decreasing gaps. A12.Pseudoprimes.Euler pseudoprimes.Strong pseudoprimes. A13.Carmichael numbers. A14."Good"primes and the prime number graph. A15.Congruent products of consecutive numbers. A16.Gaussian and Eisenstien-Jacobi primes. A17.Formulas for primes. A18.The Erdos-Selfridge classification of primes. A19.Values of n making n-2k prime.Odd numbers not of the form pa 2b A20.Symmetric and asymmetric primes. B.Divisibility C.Additive Number Theory D.Diophantine Equations E.Sequences of Integers F.None of the Above Index of Authors Cited General Index