What's the nature of infinity? Are all infinities the same? And what happens if you've got infinitely many infinities? In this article Richard Elwes explores how these questions brought triumph to one man and ruin to another, ventures to the limits of mathematics and finds that, with infinity, you're spoilt for choice.

Richard Elwes continues his investigation into Cantor and Cohen's work. He investigates the continuum hypothesis, the question that caused Cantor so much grief.

The primes are the building blocks of our number system, but there's no general formula that will give you all of them. If you want them, you have to hunt them down one by one. Abigail Kirk investigates a method that does just that.

Alan Turing is the father of computer science and contributed significantly to the WW2 effort, but his life came to a tragic end. Stefan Kopieczek explores his story.

Peter Macgregor explores the beautiful world of the infinite.

When the famous diagram fails

Liz Newton finds that having a small brain doesn't stop you doing great things.

Neil Pieprzak tells the fascinating story of Andrew Wiles who, with intense devotion and in secret, proved a deceptively simple-looking conjecture that had defeated mathematicians for almost 400 years.

José-Manuel Rey revisits a scene of the film A beautiful Mind.