Assessment of Goldbach Conjecture Sources: Only Ternary Proof and Survey Valid — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
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
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BibTeX
@misc{caldin2026assessment,
title = {{Assessment of Goldbach Conjecture Sources: Only Ternary Proof and Survey Valid — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23465140},
url = {https://zenodo.org/records/23465140},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Assessment of Goldbach Conjecture Sources: Only Ternary Proof and Survey Valid — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/19
PB - Zenodo
DO - 10.5281/zenodo.23465140
UR - https://zenodo.org/records/23465140
AB - 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
ER -