No Relevant Results for Chen's Theorem and Yamada's 2015 Explicit Bound — E8 Intelligence Research
FINDING: Search returned no relevant results — the query targeted Chen's theorem (Chen Jingrun, 1973: every sufficiently large even N = p + P₂) and Yamada's 2015 explicit computation of the lower bound N₀, but all retrieved items are unrelated (Chernoff bound, Chebyshev, Cramér–Rao, Harnack principle, finite-difference methods). | MATH: Chen's theorem statement: ∃ N₀ such that ∀ even N > N₀, N = p + P₂ where p prime, P₂ = semiprime (product of ≤2 primes). Yamada (2015, arXiv:1511.03409) established explicit N₀ = e^{e^{36}} ≈ 10^{10^{15}} via Chen's original method with explicit constants. No equation from the retrieved sources bears on this. | CONNECTION: None supported by evidence. Chen's theorem lives in additive prime theory (sieve methods, Brun–Titchmarsh, Bombieri–Vinogradov); no geometric-harmony constant (0.382, 0.618, 1.618, φ, base-60, crystallographic symmetry) appears in the retrieved material. | DEPTH: 1 — the search failed to surface the target literature; no mathematical Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Authors
- Andrew Stewart Caldin
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-11-04
- DOI
- https://doi.org/10.5281/zenodo.23939304
- Primary Topic
- Analytic Number Theory Research
- Type
- preprint