These are math’s most famous open questions. Solve one, and you’ll win a $1-million prize—but it’s only happened once since ...

With automated proof-checkers, a problem can be broken up into small chunks, solved bit-by-bit, then reassembled with ...

Earthquakes happen daily, sometimes with devastating consequences, yet predicting them remains out of reach. What scientists can do is map the hidden layers beneath the surface that control how ...

Teachers can help ease the anxiety that many students feel with these strategies for creating joyful learning experiences.

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

In 1946, the mathematician Paul Erdős posed the unit distance problem—and suggested a winning strategy. An A.I. model has now ...

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

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in ...

An experiment with 2,520 participants backs Richard Feynman’s answer to every diner’s dilemma: do I want to try something new? In a scene that could have easily featured in an episode of the US ...

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.

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