Polymath Project's Online Collaboration Sharply Bounds Prime Gaps — E8 Intelligence Research

FINDING: The Polymath Project demonstrates that large-scale online collaboration can solve deep problems in analytic number theory, specifically bounding prime gaps. | MATH: \( H_m := \liminf_{n \to \infty} (p_{n+m} - p_n) \); twin prime conjecture equivalent to \( H_1 = 2 \); Zhang's breakthrough gave finite bound; Polymath reduced it further. | CONNECTION: No direct geometric ratios or crystallographic symmetries appear. Prime gaps relate to additive number theory, not harmonic or lattice structures. | DEPTH: 7 — Profound for collaborative methodology and prime distribution, but no new constants or geometric harmony. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com