Place any number of dots on a two-dimensional plane—say, a piece of paper—and measure the distance between each pair. If you rearrange the dots, how many pairs could be positioned exactly the same ...

Overview: Stablecoins now process trillions in real economic activity, while meme coins remain driven mainly by sentiment and ...

Capricorn enters June 19, 2026, with a practical mindset, a disciplined emotional core, and a strong desire to create ...

OpenAI's AI model solved the unit distance problem posed by Paul Erdos in 1946 The AI found a counterexample disproving Erdos's conjecture on unit-distance pairs The solution shows unit-distance pairs ...

Scientists at Delft University of Technology, in collaboration with Waymo, have developed a new model that predicts with high ...

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...

Companies are shifting from running everything on the most powerful AI model to matching each task to the right one, a practice called model routing. The pressure for efficiency comes as large ...

Last week, OpenAI shocked the mathematical community by revealing that one of its internal artificial intelligence (AI) ...

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

Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal model—and what that could mean for mathematics. Reading time 10 minutes Will ...

Add Yahoo as a preferred source to see more of our stories on Google. When you buy through links on our articles, Future and its syndication partners may earn a commission. The distance players have ...