Source authenticated

Erdős Problem #870

A total refutation is claimed for all k>=3, building on the Larsen-Larsen resolution of problem #868; erdosproblems.com still lists the problem open

Exact FrontierDelta

disproved→disproved

Scope and record

Occurred: Oct 29, 2026

Delta type: REGISTRY REVISION

Assumptions: VibeMathed verification: unreviewed. Publication: announcement. AI contribution: ai-discovered. 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 #870 · Erdős #870 · Problem 870

Confidence: Not scored

Registry verification: unreviewed · announcement · candidate

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Attribution

VibeMathed
registry · event recorded by

GPT-5.4 Pro
model · ai model contributor · OpenAI

GPT-5.5 Pro
model · ai model contributor · OpenAI

David Turturean
human · human collaborator

Lineage and corrections

Corrects Erdős Problem #870 →

Supersedes Erdős Problem #870 →

This event attributed to David Turturean

Erdős Problem #870 evidence for this event

VibeMathed record: Erdős Problem #870 evidence for this event

This event attributed to GPT-5.5 Pro

This event attributed to GPT-5.4 Pro

A total refutation is claimed for all k>=3, building on the Larsen-Larsen resolution of problem #868; erdosproblems.com still lists the problem open parent of this event

Erdős Problem #870 parent of this event

Write-up evidence for this event

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Erdős Problem #870 — Mathematical Frontier Network