Assessment of Goldbach Conjecture Sources: Only Ternary Proof and Survey Valid — E8 Intelligence Research

FINDING: No valid proof of Goldbach's conjecture exists in these results; the only substantive mathematical content is Helfgott's ternary Goldbach proof (2013) and a weak/sufficient-condition survey (arXiv:2306.17769v2). The rest are crank videos or popular expositions. | MATH: Ternary Goldbach: every odd integer > 5 is sum of three primes. Helfgott's proof relies on explicit bounds for L-functions and sieve estimates; no new constants or ratios emerge. The arXiv paper (2306.17769v2) offers syllogistic classifications — weaker results, sufficient conditions, analogous statements — but no novel equation. | CONNECTION: None found. Goldbach's binary form (2n = p + q) has no inherent geometric ratio; prime gaps distribute stochastically, not crystallographically. No 0.382/0.618/0.786/1.618/2.618 or base-60 or root-system structure appears in any cited result. | DEPTH: 2/10 — The findings are noise (crank proofs, videos) plus one genuine but already-known result (Helfgott) and a survey with

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