Prime Obsession : Bernhard Riemann and the Greatest Unsolved Problem in Mathematics by John Derbyshire (2003, Hardcover)
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In the middle of that paper, Riemann made an incidental remark a guess, a hypothesis. But it is that incidental remark the Riemann Hypothesis that is the truly astonishing legacy of his 1859 paper. Brilliant for its clarity, astounding for its potential consequences, the Hypothesis took on enormous importance in mathematics.