Polymath Collaboration and AI Advance Prime Gap Bounds — E8 Intelligence Research

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 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com