Erdős problems frontier

{
 "assertion": {
  "direction": null,
  "entities": [],
  "relation": null,
  "text": "Erdős Problem #370 has status 'proved (lean)'. Statement: Are there infinitely many $n$ such that the largest prime factor of $n$ is $< n^{\\frac{1}{2}}$ and the largest prime factor of $n + 1$ is $< (n + 1)^{\\frac{1}{2}}$. Steinerberger has pointed out this problem has a trivial solution. This was formalized in Lean by Alexeev using Aristotle. Topics: number theory. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.",
  "type": "open_question"
 },
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  "duration": null,
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  "in_vitro": false,
  "in_vivo": false,
  "species_unverified": [],
  "species_verified": [],
  "text": "Agent-imported candidate claim; scope requires review."
 },
 "confidence": {
  "basis": "agent-imported candidate claim; reviewer acceptance required",
  "extraction_confidence": 0.7,
  "kind": "frontier_epistemic",
  "method": "expert_judgment",
  "score": 0.99
 },
 "created": "2026-05-30T00:42:06.826507+00:00",
 "evidence": {
  "effect_size": null,
  "evidence_spans": [
   {
    "artifact_id": "va_9bc926d75e4e3881",
    "artifact_packet_id": "cap_61973ee16b553d57",
    "candidate_claim_id": "vc_1dc0d8a036c19db9"
   }
  ],
  "method": "ScienceClaw-shaped artifact packet import",
  "model_system": "agent artifact packet",
  "p_value": null,
  "replicated": false,
  "replication_count": null,
  "sample_size": null,
  "species": null,
  "type": "computational"
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 "flags": {
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  "declining": false,
  "gap": false,
  "gravity_well": false,
  "negative_space": false,
  "retracted": false
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 "id": "vf_8847971758e968de",
 "links": [],
 "previous_version": null,
 "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",
   "extractor_version": "vela/0.691.0",
   "method": "artifact_to_state_import",
   "model": "agent:erdos-spine-ingest",
   "model_version": null
  },
  "journal": null,
  "openalex_id": null,
  "pmc": null,
  "pmid": null,
  "publisher": "artifact packet",
  "review": {
   "corrections": [],
   "reviewed": false,
   "reviewed_at": null,
   "reviewer": null
  },
  "source_type": "model_output",
  "title": "cap_61973ee16b553d57 · vc_1dc0d8a036c19db9",
  "url": "https://www.erdosproblems.com/370",
  "year": null
 },
 "updated": null,
 "version": 1
}