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Erdős Problem #684

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erdos-684Number theoryposer not recordedrecorded: retracted

1 attempt · 1 machine check · no person has looked

Statement

For the least kk at which the small-prime part of (nk)\binom{n}{k} exceeds n2n^2, how large can f(n)f(n) be?

Context

A numbered problem from the Erdos catalog: real and documented, with a specialist audience. Checked against erdosproblems.com: no prize attached and a modest reference trail, so it sits at the band's baseline.

People

no project yet · nobody looking

Projects

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Interest

nobody looking

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Attempts

1 attempt

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  • #1

    Attempt 1

    proof attemptModel not publicly disclosed ·
    AI involvement
    ai assisted
    — a person led the work and used a model along the way.
    models
    Model not publicly disclosed

    VibeMathed records no account of how Model not publicly disclosed was used here. See erdosproblems.com/684.

    Reviews

    0 human reviews · 1 machine check

    No person has reviewed this attempt. 1 machine check below — a machine check is not human verification.

    • Machine check · not human verification

      machine: needs clarification

      Recorded from VibeMathed contested flag ·

      scope Upstream dispute over the claim

      Key lemma refuted by a checked counterexample; see the claim issue.

      No ProbXiv account is credited for this check. Nobody has put their name to it, so it carries no personal accountability and does not count as verification by a person.

    Endorsements

    0 endorsements

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    Discussion of this attempt

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Discussion

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