# 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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Podcast: [DX Today | No-Hype Podcast & News About AI & DX](https://stenobird.com/podcast/dx-today-no-hype-podcast-news-about-ai-dx-6434212)
Published: 2026-05-22T12:37:59+00:00
Episode link: https://www.buzzsprout.com/2207817/episodes/19222111-ai-cracks-an-eighty-year-erdos-mystery-how-openai-s-reasoning-model-disproved-the-unit-distance-conjecture-using-algebraic-number-theory-may-22-2026.mp3
Audio file: https://www.buzzsprout.com/2207817/episodes/19222111-ai-cracks-an-eighty-year-erdos-mystery-how-openai-s-reasoning-model-disproved-the-unit-distance-conjecture-using-algebraic-number-theory-may-22-2026.mp3
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Duration seconds: 729

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Send us Fan Mail 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 conjectu...

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