Erdős problem 351 · problems.science

Let $p(x) \in \mathbb{Q}[x]$ be a non-constant rational polynomial with positive leading coefficient. Is it true that $A=\{ p(n)+1/n : n \in \mathbb{N}\}$ is strongly complete, in the sense that, for any finite set $B$ , $\left\{\sum_{a \in X} a : X \subseteq A \setminus B, X \textrm{ is finite}\right\}$ contains all sufficiently large integers?

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Formalization
Erdős AI contributions wiki · 6 May, 2026
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Claude Opus 4.7, GPT-5.5 Pro
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AI collaborating with humans
Erdős AI contributions wiki · 3 May, 2026
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GPT-5.5 Pro
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Kevin Barreto, Liam Price
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argument
VibeMathed
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GPT-5.5 Pro
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Kevin Barreto, Liam Price
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resolved
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