On his way to winning a Fields Medal, James Maynard has cut a path through simple-sounding questions about prime numbers that have stumped mathematicians for centuries. Number theorists, however, ...

“He proved a theorem about Carmichael numbers in a way that other mathematicians hadn't. It's a truly wonderful piece of work.” Daniel Larsen, a freshman at MIT, is making headlines for solving a ...

Imagine you're walking down a path, minding your own business, when suddenly you find yourself trapped in a net thrown on you by an evil troll. He poses a challenge to you: he will give you a sequence ...

After an eight-year struggle, embattled Japanese mathematician Shinichi Mochizuki has finally received some validation. His 600-page proof of the abc conjecture, one of the biggest open problems in ...

In recent weeks, two truly major results have been announced in the realm of (analytic) number theory, namely the mathematics of integers in general and of prime numbers in particular. Number theory, ...