{
  "abstract": "FINDING: Polymath collaboration demonstrates that large-scale distributed problem-solving can crack hard number-theory problems, notably bounding prime gaps via Zhang's method, while AI now augments experimental mathematics. | MATH: $H_m := \\liminf_{n \\to \\infty} (p_{n+m} - p_n)$; twin prime conjecture ⇔ $H_1 = 2$; Zhang's breakthrough gave finite bound for $H_1$ (later Polymath reduced to $H_1 \\le 246$ under Elliott–Halberstam, $H_1 \\le 6$ unconditionally for $m=1$ via Maynard–Tao). No explicit new constants or ratios appear in the raw findings beyond the prime-gap framework. | CONNECTION: No direct geometric harmony (0.382, 0.618, 0.786, 1.618, 2.618, base-60, crystallographic symmetry) is present in the cited material. Prime gaps relate to additive number theory, not to ratio-based or lattice symmetries. The \"Golden Square\" episode title is a red herring — no mathematical content linking to φ is provided in the search results. | DEPTH: 6 — The Polymath method itself is a profound me\n\nAuthor: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com",
  "abstract_shown": true,
  "affiliations": [
    "Independent Researcher, United Kingdom"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Andrew Stewart Caldin"
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  ],
  "bibtex": "https://research.draconitic.com/paper/fbk26119kvbxv.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23658179",
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  "id": "fbk26119kvbxv",
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  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fbk26119kvbxv.ris",
  "sources": [
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      "first_seen": "2026-11-09T12:21:38Z",
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  "title": "Polymath Collaboration and AI Advance Prime Gap Bounds — E8 Intelligence Research",
  "title_text": "Polymath Collaboration and AI Advance Prime Gap Bounds — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-09T12:21:38Z",
  "url": "https://research.draconitic.com/paper/fbk26119kvbxv",
  "venue": "Zenodo",
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