Erdős problems frontier

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  "text": "Erdős Problem #975 remains OPEN. Statement: For an irreducible polynomial $f \\in \\mathbb{Z}[x]$ with $f(n) \\ge 1$ for sufficiently large $n$, does there exists a constant $c = c(f) > 0$ such that $\\sum_{n \\le x} \\tau(f(n)) \\approx c \\cdot x \\log x$? Note that it is unclear whether the polynomial should have integer coefficients or merely be integer-valued. We assume the former. Topics: number theory, divisors. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: A147807, possible.",
  "type": "open_question"
 },
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  "species_verified": [],
  "text": "Agent-imported candidate claim; scope requires review."
 },
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  "basis": "agent-imported candidate claim; reviewer acceptance required",
  "extraction_confidence": 0.7,
  "kind": "frontier_epistemic",
  "method": "expert_judgment",
  "score": 0.99
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 "created": "2026-05-30T00:42:06.826507+00:00",
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 "id": "vf_b74f232c0cea13d5",
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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",
   "model": "agent:erdos-spine-ingest",
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  "publisher": "artifact packet",
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  "source_type": "model_output",
  "title": "cap_61973ee16b553d57 · vc_ecb83eee00d9a2b4",
  "url": "https://www.erdosproblems.com/975",
  "year": null
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 "version": 1
}