I was describing to a mathematician friend how much I had enjoyed Dr. Riemann's Zeros. Read The Music of the Primes, they said; it's even better. I did, and it is.
It covers the same topic: prime numbers in general, and the Riemann Hypothesis in particular. But this is written by a mathematician, and a feeling for the actual meaning of some of the results comes through more clearly. This is an essentially historical treatment, from Euclid to the current day, building up an exciting story of our growing understanding of primes, together with how and why the style of mathematics has changed over the centuries. My only complaint is that I would have liked more mathematics; there is significantly less here than in Dr. Riemann's Zeros. However, the illuminating metaphor of music is used consistently, and manages to build a coherent picture and feel for the underlying structures. Recommended.