No Explicit Bounds for Chen's Theorem in Popular Math Sources — E8 Intelligence Research

FINDING: No explicit numerical verification bounds for Chen's theorem appear in these sources; the corpus is popular-exposition (Numberphile/YouTube) plus one cryptographic factoring video, not primary literature. | MATH: Chen's theorem (1973): every sufficiently large even integer N satisfies N = p + P₂, where p is prime and P₂ is a semiprime (product of ≤2 primes). The "sufficiently large" threshold is effective but enormous; the best published explicit bound is N > e^{e^{36}} (roughly 10^{10^{15}}), from Yamada's refinement of Chen's sieve. No source here states or verifies this bound. | CONNECTION: None supported. Goldbach/Chen sit in additive number theory (sieve methods, circle method), not in the geometric-harmony ratios (0.382, 0.618, 1.618, base-60, root systems) you flagged. Any link to φ or crystallographic symmetry would be numerology, not evidence. | DEPTH: 2 — the sources are secondary and one (the "elementary proof" video) is a known crank claim; no new mathematics is pr Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com