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OpenAI Disproves Erdős Unit Distance Conjecture

calendar_today June 2, 2026 person Wolfram Blog Team domain wolframalpha

The Erdős unit distance problem asks for the largest possible number u ( n ) of unit distances among n points in the plane. This is equivalent to finding maximally dense unit-distance graphs. A recent OpenAI announcement concerns the asymptotic problem: the old n ^(1+ o (1)) expectation is false.

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