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Erdős problem 846

Erdős Problem 846 Let A ⊂ ℝ² be an infinite set for which there exists some ϵ>0 such that in any subset of A of size n there are always at least ϵn with no three on a line. Is it true that A is the union of a finite number of sets where no three are on a line?

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  • AI alongside literature

    Erdős AI contributions wiki · 21-25 Feb, 2026

    Machine
    DeepMind prover agent, OpenAI internal model (independently)
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  • construction

    VibeMathed

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    DeepMind prover agent; OpenAI internal model (independently)
    Reported outcome
    resolved
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