Bounded Gaps Between Primes
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Bounded Gaps Between Primes
Author: Kevin Broughan
language: en
Publisher: Cambridge University Press
Release Date: 2021-02-25
A mathematical record of bounded prime gaps breakthroughs, from Erdős to Polymath8, with linked computer programs and complete appendices.
Prime Numbers and the Riemann Hypothesis
Author: Barry Mazur
language: en
Publisher: Cambridge University Press
Release Date: 2016-04-11
This book introduces prime numbers and explains the famous unsolved Riemann hypothesis.
Closing the Gap
Since 2013, mathematicians from around the world have made dramatic progress on a problem in number theory that goes back centuries, the Twin Primes Conjecture, which asserts that there are infinitely many pairs of prime numbers that differ by 2 (for example, 17 and 19 is such a pair). This book describes two stories: that of the recent work on the Twin Primes Conjecture, and in parallel the related ideas around primes from the previous two thousand years ofmathematics.