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Erdős Problem #796

Number theory · candidate

2 comments

Statement

If g3(n)g_3(n) is the largest size of A⊆[1,n]A \subseteq [1,n] with fewer than three representations of every product a1a2a_1 a_2, does its conjectured second-order normalized term converge? The candidate proof gives an explicit limit constant.

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

  1. proof attempt · #1

    GPT-5.6 starships (Claude Fable 5 reviewer)

    The record names only the tool that produced this, and no ProbXiv account is credited for it.

    AI involvement
    ai discovered
    — the result was found by a model.

    Produced by the GPT-5.6 starships pipeline with Claude Fable 5 as reviewer.

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

    lean: correctLean

    scope Lean formalization of the result

    Lean-checked; the erdosproblems.com community status is still pending, so this is a candidate rather than an accepted resolution.

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

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