The beginnings of a conjecture It’s a peculiar truth of mathematics that the easier a problem looks on paper, the harder it often turns out to be. Take Fermat’s Last Theorem, for example ...

When she was just 17 years old, Hannah Cairo disproved the Mizohata-Takeuchi conjecture, breaking a four-decade-old ...

One example is the use of computers by Birch and Swinnerton-Dyer to guess what is now known as the Birch and Swinnerton-Dyer conjecture, one of the Clay math millennium problems.

The Collatz Conjecture is a deceptively simple math problem. It has only two rules. First, pick any number. If it's even, divide it by two. If it's odd, multiply it by three and add one. This will ...

A Japanese mathematician says he’s proved a famous unsolved conjecture. The problem is, nobody can understand the solution he’s put forth.

Math proofs can go through many iterations and attempts before they're correct. The abc conjecture dates to the 1980s and is an extension of Fermat's last theorem.

Summer Haag, Clyde Kertzer, James Rickards and Katherine E. Stange disprove the Local-Global Conjecture for Apollonian circle packings in a summer research project.

The simple math hid a thorny problem, however, and no one has ever proved the Collatz conjecture. Recently, a mathematician at the University of Hamburg has published a proof of the conjecture.