## number theory

This year's Abel Prize has been awarded to Hillel Furstenberg and Gregory Margulis.

After 2000 years of searching we only know of 51 perfect numbers and they're all even. What else do and don't we know about these rare and precious jewels of maths?

Nobody has ever found an odd perfect number. So do they exist at all and, if yes, what do they look like?

Perfect numbers have foxed mathematicians for over 2000 years. Here's a quick look at the long struggle to find them.

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.

A hundred years ago Ramanujan was elected FRS. Here is a look at the maths that gained him the title.

We talk to Jack Thorne about his lecture at the ICM 2018 and his work "faceting the gem stone" in number theory.

In these two videos Akshay Venkatesh tells us about winning the Fields Medal, what he enjoys about maths, and introduces us to the ideas in his work.

Akshay Venkatesh has been awarded the Fields medal 2018 for his work exploring the boundaries of number theory.