Maynard's Bounded Gaps Advance, but Twin Prime Conjecture Remains Unproven — E8 Intelligence Research

FINDING: No proof of Twin Prime Conjecture found; recent advances by Maynard show bounded gaps between primes, but infinite twin primes remain unproven. | MATH: Twin prime pairs defined as (p, p+2). Maynard's theorem: for any k, there exist infinitely many primes with gaps ≤ 600 (later reduced to 246). No equation for infinite twin primes exists. | CONNECTION: None. No geometric ratios, base-60, or crystallographic symmetries appear in the cited works. | DEPTH: 2 — The findings are popular expositions or flawed attempts; no rigorous proof or novel mathematical structure emerges. The only substantive result (Maynard) is about bounded gaps, not twin primes specifically. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com