Mersenne search
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?
A new prime number with nearly 25 million digits was discovered just in time for Christmas.
Prime number enthusiasts discover new largest prime with 22,338,618 digits.
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.
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Want facts and want them fast? Our Maths in a minute series explores key mathematical concepts in just a few words.
Weird and wonderful things can happen when you set a ball in motion on a billiard table — and the theory of mathematical billiards has recently seen a breakthrough.
Was vaccinating vulnerable people first a good choice? Hindsight allows us to assess this question.
A game you're almost certain to lose...
What are the challenges of communicating from the frontiers of mathematical research, and why should we be doing it?
Celebrate Pi Day with the stars of our podcast, Maths on the move!