As he was brushing his teeth on the morning of July 17, 2014, Thomas Royen, a little-known retired German statistician, suddenly lit upon the proof of a famous conjecture at the intersection of ...

What makes a proof stronger than a guess? What does evidence look like in the realm of mathematical abstraction? Hear the mathematician Melanie Matchett Wood explain how probability helps to guide ...

With automated proof-checkers, a problem can be broken up into small chunks, solved bit-by-bit, then reassembled with ...

OpenAI's AI helped overturn a longstanding math conjecture by finding a counterexample, highlighting a powerful new way to ...

The longest math proof in the world has just been completed. It began in the 1970s and was worked on by 100 mathematicians. Take a look at the math equivalent of endurance running. The Rolf Schock ...

You've probably been asked to prove a math solution at some point, but never like this. Researchers have created the world's largest math proof while solving the Boolean Pythagorean triples problem, ...

The result is correct but challenges core norms of mathematics: checking proofs, crediting ideas and keeping research open to ...

Every day, dozens of like-minded mathematicians gather on an online forum called Zulip to build what they believe is the future of their field. They’re all devotees of a software program called Lean.