Prime Obsession was published in hardback (upper image at left) in April 2003 by Joseph Henry Press of Washington D.C. A paperback edition (lower image) was brought out in May 2004 by Plume, a division of Penguin Books, U.S.A. (New York).
The book is an account, both historical and mathematical, of the Riemann Hypothesis, a famous unsolved problem in mathematics.
Prime Obsession was surprisingly well received for a book of that kind. It has been translated into many languages, including, to my certain knowledge, German, Italian, Greek, Spanish, and Polish. There are also translations in all the big three East Asian languages: Chinese, Japanese, and Korean.
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In January 2007, Prime Obsession was awarded the Euler Book Prize by the Mathematical Association of America. The prize is awarded for the best popular exposition in book form of a mathematical topic.
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I have responded to common reader queries here. You can watch me singing the first stanza of the Riemann Hypothesis Song here.