In 1946, the mathematician Paul Erdős posed the unit distance problem—and suggested a winning strategy. An A.I. model has now ...
A Python Swallowed a Full-Sized Deer and the Moment Left Researchers Speechless ...
A week after OpenAI made headlines with an A.I.-generated proof, a new “declaration” by 16 experts raises concerns that the ...
Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal ...
Physicist Richard Feynman turned a lunch dilemma into a math problem. Researchers finally cracked his notes and found people ...
In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in ...
AI math proof verification reached a new frontier as DeepMind’s AlphaProof Nexus solved nine open Erdős research problems with Lean-verified proofs, some unsolved for 56 years. The May 2026 Science Ne ...
The math world is losing its mind over the new solution to an Erdős problem. This is what AI found, how we missed it—and why ...
P vs. NP asks: are these two classes actually the same? If P = NP, then every “hard” problem is secretly fast to solve; we ...
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.
A general-purpose reasoning model, not a math-trained system, produced a new family of point configurations that broke Paul ...
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.