AI Cracks an Eighty Year Erdős Mystery: How OpenAI's Reasoning Model Disproved the Unit Distance Conjecture Using Algebraic Number Theory - May 22, 2026

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AI Cracks an Eighty Year Erdős Mystery: How OpenAI's Reasoning Model Disproved the Unit Distance Conjecture Using Algebraic Number Theory - May 22, 2026 On May 20, 2026, OpenAI announced that a general purpose reasoning model autonomously disproved a long standing conjecture connected to the famous Erdős unit distance problem first posed in 1946. The construction uses algebraic number fields, infinite class field towers, and the Golod-Shafarevich theorem to beat the conjectured square grid b...