The puzzle poses a deceptively simple question that boils down to: How many pairs of dots on a piece of paper can be the same ...

A brainy riddle that's stumped mathematicians since World War II appears to have been cracked via artificial intelligence.

A chatbot’s result for the 80-year-old “unit distance” conjecture is the first AI proof that would likely be published in ...

OpenAI claims its reasoning model disproved a geometry conjecture unsolved since 1946 — and this time, the mathematicians who ...

Company says work on Paul Erdős planar unit distance problem shows advance in AI reasoning ...

A ChatGPT AI has proved a conjecture with a method no human had thought of. Experts believe it may have further uses ...

For nearly 80 years, mathematicians have struggled to solve a classic geometry puzzle first posed by Paul Erdős in 1946: the ...

In September 2019, news broke regarding progress on this 82-year-old question, thanks to prolific mathematician Terence Tao. And while the story of Tao’s breakthrough is promising, the problem isn’t ...

GPT-5.4 Pro cracked a conjecture in number theory that had stumped generations of mathematicians, using a proof strategy that no human had ever considered.

OpenAI has said that one of its unreleased AI reasoning models has solved a long-standing mathematics problem first proposed ...