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Erdős Problem #267

If $n_1 < n_2 < \cdots$ with $n_{k+1}/n_k \ge c > 1$, must $\sum_k 1/F_{n_k}$ be irrational? The proposed proof closes the range $1 < c < 2$ left open by earlier criteria.

Exact FrontierDelta

Prior state unknownproved

Scope and record

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 #267 · Erdős #267 · Problem 267

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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