[HN]score: 0.85
An OpenAI model has disproved a central conjecture in discrete geometry
May 20, 2026
An OpenAI model has disproved the Erdős unit distance conjecture, an 80-year-old open problem in discrete geometry about the maximum number of unit-distance pairs among n points in the plane. This marks a significant milestone for AI-assisted formal mathematics, demonstrating LLM capability on unsolved research-grade problems rather than competition benchmarks. Mathematicians and AI researchers working on theorem proving should examine the proof structure closely.