Erdős problems frontier

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  "text": "Erdős Problem #564 remains OPEN. Statement: Let $R_3(n)$ be the minimal $m$ such that if the edges of the $3$-uniform hypergraph on $m$ vertices are $2$-coloured then there is a monochromatic copy of the complete $3$-uniform hypergraph on $n$ vertices. Is there some constant $c>0$ such that $$ R_3(n) \\geq 2^{2^{cn}}? $$ Topics: graph theory, ramsey theory, hypergraphs. Erdős prize: $500. Statement is machine-verified in Lean (formal-conjectures). OEIS: possible.",
  "type": "open_question"
 },
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  "species_verified": [],
  "text": "Agent-imported candidate claim; scope requires review."
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  "kind": "frontier_epistemic",
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  "score": 0.99
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 "created": "2026-05-30T00:42:06.826507+00:00",
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 "id": "vf_8fdce4bf9419e970",
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 "provenance": {
  "authors": [
   {
    "name": "Erdős Open-Problem spine ingest",
    "orcid": null
   }
  ],
  "citation_count": null,
  "doi": null,
  "extraction": {
   "extracted_at": "2026-05-30T00:42:06.826507+00:00",
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   "method": "artifact_to_state_import",
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  "source_type": "model_output",
  "title": "cap_61973ee16b553d57 · vc_08e71ff35176a590",
  "url": "https://www.erdosproblems.com/564",
  "year": null
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 "version": 1
}