A 100-year-old equation helps scientists build solar cells, develop biofuels and even study quantum computers.

The equations at the center of the claim are two centuries old. The prize question has been open since 2000. And the computation that answered it ran for only 88 hours. On Sept. 8, 2026, OpenAI ...

The motion of fluids seems simple, but the equations behind it are the subject of one of the most famous puzzles in mathematics. That puzzle now appears solved, thanks to AI, even as the feat came ...

Nearly 200 years ago, Claude-Louis Navier and George Gabriel Stokes sought to describe the chaotic motion of fluids mathematically, writing down equations that are still routinely used by everyone ...

This article is from Proof Positive, our friendly math newsletter that’s delivered to your inbox every Tuesday afternoon. Sign up today and read it first. In real life, almost nothing is perfect. But ...

In real life, almost nothing is perfect. But in mathematics, things can be. Scholars consider circles and spheres perfect because of their high symmetry, which is one of the reasons why it was ...

In a year of unthinkable math progress, as increasingly powerful AI systems have cracked conjectures that had long stumped humans, OpenAI published a breakthrough on Tuesday that represents the most ...

The company’s announcement is the most dramatic sign yet that artificial intelligence is fundamentally transforming the field of higher mathematics. By Cade Metz OpenAI said on Tuesday that its newest ...

OpenAI said today that it has found an AI-generated solution to one of the biggest problems in mathematics—a 200-year-old equation that describes the natural behavior of fluids like water and air. The ...

Mathematicians at OpenAI showed that the Navier-Stokes equations, which describe how fluids flow, can sometimes “blow up.” But the massive result is not without controversy. On the morning of Tuesday, ...

There’s some exciting very recent work by Alpöge and Buckmaster, building upon prior work by Córdoba and Martínez-Zoroa, in the general topic around the infamous global regularity problem for the ...

OpenAI announced on Sept. 8 that researchers using an unreleased internal model had solved a historic math problem. But the claimed breakthrough comes amid allegations from two mathematicians who say ...