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Erdős Problem #477

Number theory · posed by 1980 · candidate

1 comment

Statement

Does there exist an integer polynomial ff of degree at least two and a set A⊆ZA \subseteq \mathbb{Z} such that every integer has a unique representation n=a+f(k)n = a + f(k)? A manuscript claims the thirteenth powers admit a tiling complement.

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No person has examined this. Nothing here has been checked at all. say whether it holds →

  1. proof attempt · #1

    GPT-5.5 Pro

    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.

    VibeMathed records no account of how GPT-5.5 Pro was used here. See erdosproblems.com/477.

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