Lean

DeepMind AI solves nine Erdős problems in Science paper

Google DeepMind, part of Alphabet, has published a peer-reviewed account of AlphaProof Nexus, an AI system that solved nine open problems posed by the mathematician Paul Erdős and proved 44 conjectures from the On-Line Encyclopedia of Integer Sequences (OEIS). The…

OpenAI withdraws three AI math papers over sign error

OpenAI has pulled three of the 722 mathematics manuscripts it published on Oct. 6, less than a day after posting them. The company found a sign error that broke the argument in one paper and the construction that two other…

Researchers flag mismatch in OpenAI’s Navier-Stokes proof

Mathematicians are checking a large batch of AI-generated proofs that OpenAI posted on Oct. 6, and some of what they have found so far is raising doubts. A team led by Cambridge researchers says the human-readable and computer-checkable versions of…

OpenAI posts 722 math papers from unreleased AI model

On Tuesday, Oct. 6, OpenAI posted 722 mathematical manuscripts to a public GitHub repository, sorted into 372 "result families." The company says an unreleased internal frontier model produced them. Scientific American reported that the repository went live at 6 p.m.…

Anthropic says Claude wrote first computer-verified proof of Fermat’s Last Theorem

Anthropic announced on Thursday that its AI model Claude has completed the first end-to-end, computer-checked proof of Fermat's Last Theorem, one of the most celebrated results in mathematics. Working largely autonomously over 11 days, Claude wrote the proof in the…