Source authenticated

Erdős Problem #1186

exact k = 3 constant established, settling the Parrilo-Robertson-Saracino conjecture for 3-APs; general k remains open.

Exact FrontierDelta

proved→proved

Scope and record

Occurred: Oct 29, 2026

Delta type: REGISTRY REVISION

Assumptions: VibeMathed verification: lean-checked. 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 #1186 · Erdős #1186 · Problem 1186

Confidence: Not scored

Registry verification: lean checked · announcement · partial

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Attribution

VibeMathed
registry · event recorded by

GPT-5.6 Star Fleet (Claude Fable 5 referee)
model · ai model contributor · OpenAI / Anthropic

Artifacts and verifiers

Star Fleet's repo of the proof

lean artifact · pending

Artifact ↗

Compute record

No linked compute attempts recorded.

Lineage and corrections

Corrects Erdős Problem #1186 →

Supersedes Erdős Problem #1186 →

Star Fleet's repo of the proof evidence for this event

Erdős Problem #1186 parent of this event

VibeMathed record: Erdős Problem #1186 evidence for this event

Parrilo et al 2008 - Problem statement evidence for this event

This event attributed to GPT-5.6 Star Fleet (Claude Fable 5 referee)

exact k = 3 constant established, settling the Parrilo-Robertson-Saracino conjecture for 3-APs; general k remains open. parent of this event

Erdős Problem #1186 evidence for this event

Act on this frontier

Verify, challenge, or extend the result.