OpenAI AI Disproves Erdős Conjecture; Formalized in Lean 4
An OpenAI model has autonomously disproved a conjecture from Paul Erdős' 1946 planar unit distance problem — marking the first time an AI has solved a prominent open problem in mathematics without human guidance. Logical Intelligence's Aleph Prover subsequently formalized the disproof in Lean 4, releasing the formalization open source for independent machine-checkable verification.
Why It Matters
The combination — autonomous AI discovery followed by formal verification in a proof assistant — establishes a reproducibility standard for AI math claims that sidesteps disputes about hallucination or unverifiable reasoning. This two-step pattern (AI solves, Lean verifies) may become the credibility framework for AI-generated mathematical results going forward.