They've done it again! GIMPS has discovered the largest known prime number: 2^57,885,161-1. This massive 17,425,170 digit number was discovered thanks to clever distributed computing software that uses idle computer time donated by volunteers.

Climate change is causing populations to sync in different species in the high arctic, increasing their risk of extinction.

Struggling to solve today's sudoku? Is your tried and tested method hitting a brick wall and you feel like you are going around in circles? New research might make you feel a bit better: you might not necessarily be stuck... perhaps you are just in a patch of transient chaos on your way to the solution.

Inspired by Sara Storey's phenomenal gold medal we calculate whether we, and our bikes, have what it takes to triumph in our newfound quest for speed!

A new mathematical analysis of how to hit a winning serve shows that spin is the thing. Perhaps there's still time for Murray's coach to include some maths in his preparations for the match today...

If it looks like the Higgs... and it smells like the Higgs... have we finally found it? Most physicists agree it's safe to say we've finally observed the elusive Higgs boson. And perhaps that is not all....

On a rainy night last month, in an ancient hall down a hidden alleyway in the centre of London, Bernard Silverman, Chief Scientific Advisor to the Home Office, revealed a surprising secret... ancient mathematics is at the heart of a very modern game of hide and seek.

It does pay to be nice if you repeatedly deal with the same person. Martin Nowak explains why cooperation also wins in matters of reputation, neighbourliness and family. But can evolutionary game theory save the world?

Struggling with that new year's resolution to lose a few pounds? Weight not dropping off as fast as you'd expected? A new mathematical model has some good news and some bad news for you. Which would you like to hear first?

In the corner of the garden between the Centre of Mathematical Sciences and the Isaac Newton Institute in Cambridge, sits a reminder of our ongoing quest to understand gravity: an apple tree that was taken as a cutting from the tree at Newton's birthplace, the tree that is said to have inspired his theory of gravity. Newton's theory was extended to the cosmological scales by Einstein's theory of general relativity – but can supergravity explain how gravity works in the quantum world?

In this, the second part of our interview, John Conway explains how the Kochen-Specker Theorem from 1965 not only seemed to explain the EPR Paradox, it also provided the first hint of Conway and Kochen's Free Will Theorem.