In this podcast we talk to James Maynard, who has won a 2022 Fields Medal for his spectacular contributions to number theory.

Maynard went from a fascination with numbers as a young child to making spectacular contributions to number theory that have earned him a Fields Medal.

James Maynard has won a field medal for his work in number theory. He told us how he went from a fascination with numbers as a young child to making spectacular contributions to number theory.

James Maynard, one of the prize winners at the European Congress of Mathematics, is counting primes that don't have 7s in them. But why?

In this excellent talk the mathematician Vicky Neale gives a fascinating and easy-to-follow introduction to the prime numbers.

There's been progress on one of the biggest open problems in maths: the twin prime conjecture.

This year has seen a flurry of results as mathematicians hunt down the elusive proof of the twin prime conjecture. Will they get their wish for Christmas this year?

Agreeing to pay £50,000 for something worth £2 wouldn't win you any haggling competitions. In mathematics, however, a similar result can bring you international acclaim. This is the case with recent progress towards the famous twin prime conjecture.

A major advance towards the twin prime conjecture

Can Dan Goldston and Cem Yalcin Yildrim repair the hole in their proof to make the biggest breakthrough in prime number theory for 80 years?

We know there is infinitely many primes, but are there infinitely many twin primes?