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

OpenAI said one of its internal models had made a breakthrough with a challenge first posed by Hungarian mathematician Paul Erdős in 1946. Experts say this result could indicate that AI is capable of ...