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A general-purpose model disproves Erdős's unit distance conjecture

development2026-05-21

Claim

An internal OpenAI model disproved Erdős's long-standing planar unit distance conjecture in discrete geometry, contradicting decades of belief that square grids were optimal, with mathematician Arul Shankar noting its reasoning tried a vast array of ideas across mathematics before honing in with what he called original ingenious ideas.

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Notably from a general-purpose model rather than a mathematics-specialized one. Altman called it a kinda big milestone evoking complicated feelings.

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