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The music of the primes
The book starts before the time of Riemann, with Gauss's estimates of how the primes thin out as we go through the integers. These estimates resulted in the prime number conjecture, which Riemann was trying to prove when he invented his zeta function. This conjecture eventually became a theorem, but Riemann's own conjecture remains unproven. Du Sautoy leads us through the attempts of many mathematicans to prove the Riemann hypothesis, showing how often it led to interesting new mathematics, but sometimes to despair for those making the attempt. Indeed it almost reads like a novel, and at times I found it hard to put down - I wanted to see what the next attempt at a proof would lead to.