“How many pairs of points can have exactly the same distance from each other on a surface?” This is the “planar unit distance” problem, for the solution of which the famous Hungarian mathematician ...

On May 20, 2026, OpenAI announced that its internal AI model had disproven a long-held prediction regarding the 'unit distance problem,' a central unsolved problem in discrete geometry. The unit ...

OpenAI claims its new reasoning model has produced an original mathematical proof disproving a famous unsolved conjecture in geometry, which was first posed by Paul Erdős in 1946. If this sounds ...

Little progress had been made in solving Ramsey problems since the 1930s. Now, researchers have found the answer to r(4,t), a longstanding Ramsey problem that has perplexed the math world for decades.

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This article is from Proof Positive, our friendly newsletter that explores the joys and peculiarities of math. Sign up today for a weekly math essay and puzzle in your email inbox. If you’ve ever ...

Take a group of runners circling a track at unique, constant paces. Answering the question of how many will always end up running alone, no matter their speed, has vexed mathematicians for decades.

When ChatGPT first came onto the scene, it wowed users with its writing abilities, but drew laughs for generating images of seven-fingered hands and struggling with basic math, where 2+2 didn’t always ...

Axiom Math is giving away a powerful new AI tool. But it remains to be seen if it speeds up research as much as the company hopes. Axiom Math, a startup based in Palo Alto, California, has released a ...

Gerd Faltings proved a conjecture that had been unsolved for six decades, using connections between numbers and geometry. By Kenneth Chang A German mathematician, Gerd Faltings, is this year’s winner ...

The JavaScript innovation train is really picking up momentum lately, driven—as always—by the creativity of the JavaScript developer community. The emerging local-first SQL datastores crystalize ideas ...