Twin Prime Conjecture Unproven: Maynard's Bounded Gaps, No Accepted Proof — E8 Intelligence Research

FINDING: Twin prime conjecture remains unproven; recent advances by Maynard show bounded gaps, but no proof of infinitude. Claimed proofs on YouTube and arXiv are not peer-reviewed or accepted. MATH: Twin prime definition: \( p_x + 2 = p_y \). Maynard's result: there exist infinitely many prime gaps ≤ 600 (later reduced). No equation or constant emerges from these sources. The arXiv paper (1708.07884v1) claims "at least three additional twin prime pairs increased as n is increased by 1" — this is not a rigorous proof and has not been validated. CONNECTION: No geometric harmony, golden ratio, base-60, or crystallographic symmetry appears in any of these findings. The problem is analytic number theory, not geometric. DEPTH: 1 — No new mathematical essence extracted. No verified equations, constants, or patterns. The sources are popular videos and an unverified preprint. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com