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Erdős Problem #254

If $A \subseteq \mathbb{N}$ has unbounded dyadic-shell counts and $\sum_{n \in A} \|\theta n\| = \infty$ for every $0 < \theta < 1$, must $A$ be complete - is every sufficiently large integer a sum of distinct elements of $A$?

Exact FrontierDelta

Prior state unknownproved

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Occurred: Jul 13, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: lean-verified. Publication: announcement. AI contribution: ai-discovered. Imported under CC BY 4.0.

Canonical aliases: Erdős Problem #254 · Erdős #254 · Problem 254

Confidence: Not scored

Registry verification: lean verified · announcement · candidate

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VibeMathed
registry · event recorded by

GPT-5.6 starships (Claude Fable 5 reviewer)
model · ai model contributor · OpenAI / Anthropic

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This event attributed to GPT-5.6 starships (Claude Fable 5 reviewer)

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Erdős Problem #254 — Mathematical Frontier Network