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OpenAI's reasoning model disproves decades-old geometry conjecture

OpenAI claims a general-purpose reasoning model discovered a counterexample to Erdős's unit-distance bound, a conjecture in discrete geometry. The result was verified by an AI grading pipeline and human mathematicians.

1 min read

OpenAI announced that one of its general-purpose reasoning models found a construction disproving the conjectured n^{1+O(1/log log n)} upper bound in Erdős's planar unit-distance problem, a foundational problem in discrete geometry that has resisted proof for decades.

The claim centers on finite pl...

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Method & sources
Source type
Primary publication (lab/vendor blog) — our analysis + implication
Source link
r/machinelearning
Published
UTC
Byline
By the gotcontext.ai team (editorial standards)
Correction?
corrections@gotcontext.ai