Polymath8b Reduces Bounded Prime Gaps from 70 Million to 246 — E8 Intelligence Research

FINDING: Polymath project advances collaborative proof of bounded gaps between primes, reducing \(H_1\) from unknown to proven finite bound. | MATH: \(H_m := n → ∞ (pₙ₊ₘ - p_n)\); Zhang's breakthrough gave \(H_1 ≤ 70,000,000\); Polymath8b reduced to \(H_1 ≤ 246\) (and \(H_1 ≤ 6\) under Elliott–Halberstam). | CONNECTION: No direct geometric ratio or crystallographic symmetry; the prime gap distribution relates to sieve theory and additive combinatorics, not harmonic ratios. | DEPTH: 8 — profound for number theory and collaborative methodology, but no geometric harmony link. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com