This book is about the life of primes. Indeed, once they are
defined, primes take on a life of their own and the mysteries
surrounding them begin multiplying, just like living cells
reproduce themselves, and there seems to be no end to it. This
monograph takes the reader on a journey through time, providing an
accessible overview of the numerous prime number theory problems
that mathematicians have been working on since Euclid. Topics are
presented in chronological order as episodes. These include results
on the distribution of primes, from the most elementary to the
proof of the famous prime number theorem. The book also covers
various primality tests and factorisation algorithms. It is then
shown how our inability to factor large integers has allowed
mathematicians to create today's most secure encryption method.
Computer science buffs may be tempted to tackle some of the many
open problems appearing in the episodes. Throughout the
presentation, the human side of mathematics is displayed through
short biographies that give a glimpse of the lives of the people
who contributed to the life of primes. Each of the 37 episodes
concludes with a series of problems (many with solutions) that will
assist the reader in gaining a better understanding of the theory.
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