An OpenAI model has disproved a central conjecture in discrete geometry
Summary
An OpenAI language model has solved a famous 80-year-old math problem in discrete geometry (the study of geometric shapes made from separate points) by disproving a long-held belief about how many pairs of points can be exactly one unit apart. The AI found an infinite family of point arrangements that beat the previous best solution, and external mathematicians have verified the proof, marking the first time an AI has autonomously solved a prominent open problem central to a mathematical field.
Classification
Affected Vendors
Related Issues
Original source: https://openai.com/index/model-disproves-discrete-geometry-conjecture
First tracked: May 20, 2026 at 08:00 PM
Classified by LLM (prompt v3) · confidence: 85%