---
product_id: 7755843
title: "The Music of the Primes: Searching to Solve the Greatest Mystery in Mathematics (P.S.)"
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# The Music of the Primes: Searching to Solve the Greatest Mystery in Mathematics (P.S.)

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Review: Some of the greatest minds attacking one of the hardest and most beautiful problems - This is a fantastic history book on the efforts of some of the greatest mathematical (and physicist's )minds from Gauss and Riemann to Selberg and Alain Connes in their efforts to crack one of the most beautiful problems: the distribution of prime numbers. Some of the greatest insights in mathematics and in science are when somebody makes an unexpected link between two different areas. This is what the genius of Riemann suggested connecting the prime numbers to the zeroes of a function of complex variable. The conjectured location of the zeroes of this function, the Riemann Hypothesis, is the only unsolved problems of Hilbert's list and has become, with all the honours, one of the Millenium problems, worth one million dollars, but that is nothing compared to the instant glory acquired by whoever can solve it. Unlike the other famous problem, Fermat's Last Theorem, many theorems depend on the Hypothesis. The book reads like a thriller and indeed some of the anecdotes are those of thriller, like the mysteries still contained in the remaining unpublished papers of Riemann, the Nachlass, and the disappearance of one of his notebooks and the destruction of a large number of his notes by his housekeeper. Another example is André Weil being accused of espionage in Finland for writing mathematical letters to Russian colleagues, being condemned to death and being spared of the death sentence by a chance dinner of the Police Chief with Nevalinna (a Finish mathematician) the night before the execution. Billions of zeroes are known to be in the critical line and even we know that a high percentage are there, but we cannot prove with absolute certainty that they are all there. And, as Littlewood, showed, great empirical evidence is not a guarantee of mathematical certainty. It was interesting to learn that there is a formula that outputs (when the value is positive) all primes and only primes. This is a highly recommended book for all people interested in mathematics, although some college level of this subject will make it easier to digest.
Review: A beautiful trip though the history of prime number - This book is a very enjoyable read that gives a lot of background information on the key players of number theory. I've seen reviews criticizing the fact that there is very little math in this book. While this is true, one shouldn't see it as a math book but a history book. Unfortunately the Kindle version is missing the illustrations. I don't quite understand this omission. Otherwise, the book is a page turner goes well with other books on the subject, as it adds so much to the names behind those amazing theorems and conjectures.

## Technical Specifications

| Specification | Value |
|---------------|-------|
| Best Sellers Rank | #118,259 in Books ( See Top 100 in Books ) #11 in Number Theory (Books) #25 in Scientific Research #65 in Mathematics History |
| Customer Reviews | 4.6 4.6 out of 5 stars (552) |
| Dimensions  | 7.9 x 5.2 x 1 inches |
| Edition  | Reprint |
| ISBN-10  | 0062064010 |
| ISBN-13  | 978-0062064011 |
| Item Weight  | 10.4 ounces |
| Language  | English |
| Print length  | 335 pages |
| Publication date  | August 14, 2012 |
| Publisher  | Harper Perennial |

## Images

![The Music of the Primes: Searching to Solve the Greatest Mystery in Mathematics (P.S.) - Image 1](https://m.media-amazon.com/images/I/61EpZIk+FfL.jpg)

## Customer Reviews

### ⭐⭐⭐⭐⭐ Some of the greatest minds attacking one of the hardest and most beautiful problems
*by J***A on June 5, 2007*

This is a fantastic history book on the efforts of some of the greatest mathematical (and physicist's )minds from Gauss and Riemann to Selberg and Alain Connes in their efforts to crack one of the most beautiful problems: the distribution of prime numbers. Some of the greatest insights in mathematics and in science are when somebody makes an unexpected link between two different areas. This is what the genius of Riemann suggested connecting the prime numbers to the zeroes of a function of complex variable. The conjectured location of the zeroes of this function, the Riemann Hypothesis, is the only unsolved problems of Hilbert's list and has become, with all the honours, one of the Millenium problems, worth one million dollars, but that is nothing compared to the instant glory acquired by whoever can solve it. Unlike the other famous problem, Fermat's Last Theorem, many theorems depend on the Hypothesis. The book reads like a thriller and indeed some of the anecdotes are those of thriller, like the mysteries still contained in the remaining unpublished papers of Riemann, the Nachlass, and the disappearance of one of his notebooks and the destruction of a large number of his notes by his housekeeper. Another example is André Weil being accused of espionage in Finland for writing mathematical letters to Russian colleagues, being condemned to death and being spared of the death sentence by a chance dinner of the Police Chief with Nevalinna (a Finish mathematician) the night before the execution. Billions of zeroes are known to be in the critical line and even we know that a high percentage are there, but we cannot prove with absolute certainty that they are all there. And, as Littlewood, showed, great empirical evidence is not a guarantee of mathematical certainty. It was interesting to learn that there is a formula that outputs (when the value is positive) all primes and only primes. This is a highly recommended book for all people interested in mathematics, although some college level of this subject will make it easier to digest.

### ⭐⭐⭐⭐⭐ A beautiful trip though the history of prime number
*by A***V on March 16, 2014*

This book is a very enjoyable read that gives a lot of background information on the key players of number theory. I've seen reviews criticizing the fact that there is very little math in this book. While this is true, one shouldn't see it as a math book but a history book. Unfortunately the Kindle version is missing the illustrations. I don't quite understand this omission. Otherwise, the book is a page turner goes well with other books on the subject, as it adds so much to the names behind those amazing theorems and conjectures.

### ⭐⭐⭐⭐ A prime book on primes
*by J***E on August 7, 2017*

A brilliant summary regarding prime numbers, with the best explanation in general terms of the Riemann Hypothesis and its implications that I have yet come across. The many biographical inclusions of pioneering mathematicians makes for added interest, and extends to computing and cryptography, finally embracing quantum chaos. First published in 2003, this is still a very modern book by Marcus du Sautoy, and at Amazon;s price of just $10.17 US, why wouldn't you include it in your library? A great read.

## Frequently Bought Together

- The Music of the Primes: Searching to Solve the Greatest Mystery in Mathematics
- Elementary Number Theory: Second Edition (Dover Books on Mathematics)
- A Book of Abstract Algebra: Second Edition (Dover Books on Mathematics)

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*Last updated: 2026-05-08*