Bakuage Co., Ltd. headquartered in Shibuya, Tokyo, announced on July 7, 2021, that it is offering a prize of 120 million Japanese yen (*) to anyone who has revealed the truth of the Collatz conjecture ...

Your codespace will open once ready. There was a problem preparing your codespace, please try again. The Collatz conjecture is a conjecture in mathematics named after Lothar Collatz, who first ...

The last dimension of Keller's conjecture has been proven using a computer algorithm. The conjecture involves the way hypercubes in different dimensions share sides when tiled. The proof is ...

Mathematicians thought they were on the cusp of proving a conjecture about the ancient structures known as Apollonian circles. But a summer project would lead to its downfall. Summer Haag and Clyde ...

It’s an educated guess, not a proof. But a good conjecture will guide math forward, pointing the way into the mathematical unknown. Mountain climbing is a beloved metaphor for mathematical research.