Source authenticated

Erdős Problem #387

False in general; the positive direction holds for k large relative to n. The authors also show it is possible to find k smaller relative to n.

Exact FrontierDelta

disproved→disproved

Scope and record

Occurred: Oct 29, 2026

Delta type: REGISTRY REVISION

Assumptions: VibeMathed verification: expert-verified. Publication: preprint. AI contribution: ai-co-developed. VibeMathed editorial classifications, scores, notes, relations, and dataset structure are CC BY 4.0. Source statements and linked content retain their own rights.

Canonical aliases: Erdős Problem #387 · Divisors of binomial coefficients

Confidence: Not scored

Registry verification: expert verified · preprint · resolved

Open the source record ↗

Attribution

VibeMathed
registry · event recorded by

ChatGPT 5.5 Pro
model · ai model contributor · OpenAI

Hung M. Bui
human · human collaborator

Slava Naprienko
human · human collaborator

Kyle Pratt
human · human collaborator

Alexandru Zaharescu
human · human collaborator

Artifacts and verifiers

Github repo of the proof

lean artifact · pending

Artifact ↗

Compute record

No linked compute attempts recorded.

Lineage and corrections

Corrects Erdős Problem #387 →

Supersedes Erdős Problem #387 →

This event attributed to Kyle Pratt

Thomas Bloom's record of the problem (#387) evidence for this event

This event attributed to Hung M. Bui

Ecklund et al 1978 - Problem statement evidence for this event

Github repo of the proof evidence for this event

VibeMathed record: Erdős Problem #387 evidence for this event

Erdős Problem #387 evidence for this event

This event attributed to Alexandru Zaharescu

This event attributed to Slava Naprienko

False in general; the positive direction holds for k large relative to n. The authors also show it is possible to find k smaller relative to n. parent of this event

Erdős Problem #387 parent of this event

This event attributed to ChatGPT 5.5 Pro

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