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Erdős Problem #450

How large must $y(\varepsilon, n)$ be so that every interval $(x, x+y)$ contains at most $\varepsilon y$ integers having a divisor in $(n, 2n)$? The candidate proof gives the sharp fixed-$\varepsilon$ order $y = \Theta_\varepsilon(n)$, uniformly in the translate.

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 #450 · Erdős #450 · Problem 450

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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