## number theory

Marcus du Sautoy talks about football, cryptography, and numbers.

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

Here's an easy game that leads you straight to an unsolved question in maths.

The Fields medallist reveals the beauty of numbers, how he drew inspiration from Sanskrit maths and a Rubik's cube, and how his maths fits with his tabla playing.

We enjoyed Manjul Bhargava's Fields medal lecture so much we wanted to share it with you!

Manjul Bhargava is being honoured as a number theorist of "extraordinary creativity," with "a taste for simple problems of timeless beauty."

The natural numbers, 1, 2, 3, 4, ..., are nice. So what could be nicer than discovering interesting patterns within them?

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?

Number theory is famous for problems that everyone can understand and that are easy to express, but that are fiendishly difficult to prove. Here are some of our favourites.