Closing the Gap: The Quest to Understand Prime Numbers

ISBN : 9780198788287

Vicky Neale
192 Pages
156 x 234 mm
Pub date
Sep 2017


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In 2013, a little known mathematician in his late 50s stunned the mathematical community with a breakthrough on an age-old problem about prime numbers. Since then, there has been further dramatic progress on the problem, thanks to the efforts of a large-scale online collaborative effort of a type that would have been unthinkable in mathematics a couple of decades ago, and the insight and creativity of a young mathematician at the start of his career. Prime numbers have intrigued, inspired and infuriated mathematicians for millennia. Every school student studies prime numbers and can appreciate their beauty, and yet mathematicians' difficulty with answering some seemingly simple questions about them reveals the depth and subtlety of prime numbers. Vicky Neale charts the recent progress towards proving the famous Twin Primes Conjecture, and the very different ways in which the breakthroughs have been made: a solo mathematician working in isolation and obscurity, and a large collaboration that is more public than any previous collaborative effort in mathematics and that reveals much about how mathematicians go about their work. Interleaved with this story are highlights from a significantly older tale, going back two thousand years and more, of mathematicians' efforts to comprehend the beauty and unlock the mysteries of the prime numbers.


1 Introduction
2 What is a prime?
3 May 2013
4 It's easy to ask hard questions
5 May 2013
6 Making hard problems easier
7 June 2013
8 How many primes are there?
9 July 2013
10 What's so mathematical about my mathematical pencil?
11 August 2013
12 If primes are hard, let's try something else
13 November 2013
14 Generalise . . .
15 April 2014
16 Where next?

About the author: 

Vicky Neale is the Whitehead Lecturer at the Mathematical Institute and Balliol College, University of Oxford. A substantial part of her remit is public communication of mathematics. She has wide experience of working with students of all ages (school children to adults, via undergraduates), and of giving public lectures, and does various media work. Her research is in additive number theory, specifically on more modern generalisations of Waring's Problem.

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