Chapter 1. Genesis: From Euclid to Chebyshev
Chapter 2. The Riemann zeta function
Chapter 3. Stochastic distribution of prime numbers
Chapter 4. An elementary proof of the prime number theorem
Chapter 5. The major conjectures

We have been curious about numbers—and prime numbers—since antiquity. One notable new direction this century in the study of primes has been the influx of ideas from probability. The goal of this book is to provide insights into the prime numbers and to describe how a sequence so tautly determined can incorporate such a striking amount of randomness.There are two ways in which the book is exceptional. First, some familiar topics are covered with refreshing insight and/or from new points of view. Second, interesting recent developments and ideas are presented that shed new light on the prime numbers and their distribution among the rest of the integers. --- summary provided by publisher