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Erdős Problem #477

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

Exact FrontierDelta

Prior state unknownproved

Scope and record

Occurred: Jun 1, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-discovered. Imported under CC BY 4.0.

Canonical aliases: Erdős Problem #477 · Erdős #477 · Problem 477

Confidence: Not scored

Registry verification: unreviewed · preprint · candidate

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VibeMathed
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GPT-5.5 Pro
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