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Erdős Problem #394

For the least $t_k(n)$ with $n \mid t_k(n)(t_k(n)+1)\cdots(t_k(n)+k-1)$, do the conjectured logarithmic-saving and adjacent-length estimates hold on average? Both answered affirmatively, with $c = 1/2048$ admissible in the $t_2$ bound.

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 #394 · Erdős #394 · Problem 394

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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