Goldbach's Conjecture — Pairs of Primes That Sum to Even Numbers

This series has dealt with prime numbers. The first article “The Fermat Test — Another Principle of Primality Testing” ...

Grothendieck's 'Section Conjecture', AI claims proof of p-adic version using Shinichi Mochizuki's tools—OpenAI and the Kyoto lineage

On the morning of October 7, the news that OpenAI had released 722 mathematical manuscripts featured headlines such as ...
Phys.org

Mathematicians move the needle on the Kakeya conjecture, a decades-old geometric problem

Mathematicians from New York University and the University of British Columbia have resolved a decades-old geometric problem, the Kakeya conjecture in 3D, which studies the shape left behind by a ...
kucoin

Chinese scientists solve 30-year-old mathematical conjecture using a domestic AI model

The Shanghai Artificial Intelligence Laboratory announced today that the three-dimensional Ghys conjecture, a world-class ...
Phys.org

Mathematicians prove Pólya's conjecture for the eigenvalues of a disk, a 70-year-old math problem

Is it possible to deduce the shape of a drum from the sounds it makes? This is the kind of question that Iosif Polterovich, a professor in the Department of Mathematics and Statistics at Université de ...
Scientific American magazine

OpenAI announces AI’s biggest math breakthrough yet

After 80 years of fruitless struggle by human mathematicians, a major geometry conjecture has at last been solved—via a straightforward query to a chatbot. “No previous AI-generated proof has come ...
The Conversation

‘hello there the jacobian conjecture is false thanx’: why a tiny social media post has mathematicians rethinking AI

As millions of people were coming down from the excitement of the FIFA World Cup Final at the start of this week, a different kind of excitement was building within the mathematical community. Levent ...