A quick look at one of the most important theorems in number theory.

You are faced with a difficult problem, it is not easily solved. How do you feel? Well, if you are Avi Wigderson, one of the winners of the 2021 Abel Prize, you are very happy!

Mathematicians have revived an old approach to solving the famous Riemann hypothesis.

A new prime number with nearly 25 million digits was discovered just in time for Christmas.

Here's the ancient proof that there are infinitely many prime numbers.

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?

Prime number enthusiasts discover new largest prime with 22,338,618 digits.

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

Fermat's little theorem and fake primes.

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

Look for hidden gems in the gaps between known prime numbers.

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?