Place any number of dots on a two-dimensional plane—say, a piece of paper—and measure the distance between each pair. If you ...

A seemingly simple set of rules kicks off a kind of mathematical magic trick, which has kept great minds busy since the 1930s ...

OpenAI announced this week that one of its general-purpose reasoning models made a breakthrough that has grabbed the attention of elite mathematicians.

The closest the field has come to solving the planar unit distance problem, first proposed in the 1940s, was in 1984. Now, OpenAI claims an internal model has cracked the puzzle.

Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal ...

Three mathematicians have laid out proof that solves a long-standing problem in mathematics. Even the mathematician—an Abel ...