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Erdős Problem #306

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erdos-306Number theoryposed by 1980recorded: candidate

1 attempt · 1 machine check · no person has looked

Statement

If a/b∈Q>0a/b \in \mathbb{Q}_{>0} and bb is squarefree, can a/ba/b always be written as a finite sum of reciprocals of distinct products of two distinct primes?

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

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Projects

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Interest

nobody looking

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Attempts

1 attempt

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  • #1

    Attempt 1

    proof attemptAI-assisted Lean development (models not itemized) ·
    AI involvement
    ai assisted
    — a person led the work and used a model along the way.
    models
    AI-assisted Lean development (models not itemized)

    VibeMathed records no account of how AI-assisted Lean development (models not itemized) was used here. See erdosproblems.com/306.

    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: correct

      Recorded from Lean ·

      scope Lean formalization of the result

      Lean-checked modulo two explicitly isolated Rosser-Schoenfeld analytic inputs; the official problem page still lists the problem as open.

      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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