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

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
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

No Relevant Results for Chen's Theorem and Yamada's 2015 Explicit Bound — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
preprint

No Relevant Results for Chen's Theorem and Yamada's 2015 Explicit Bound — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

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

Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon