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Erdős Problem #306

Number theory · posed by 1980 · candidate

2 comments

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?

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No person has examined this. Everything below was judged by machines. say whether it holds →

  1. proof attempt · #1

    AI-assisted Lean development (models not itemized)

    No person is named on this work: the record names only the tool it came from, and no ProbXiv account is credited for it.

    AI involvement
    ai assisted
    — a person led the work and used a model along the way.

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

  2. Machine-checked by Lean on #1 · not a person

    lean: correctLean

    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.

    Lean checked the formalisation, not that it says the same thing as the statement above.

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