Polymath Project Yields Explicit Bounds for Prime Gaps — E8 Intelligence Research

FINDING: Polymath project on bounded gaps between primes yields explicit bounds for prime gaps. | MATH: \( H_m = \liminf_{n \to \infty} (p_{n+m} - p_n) \); Zhang's breakthrough gave finite bound for \( H_1 \); Polymath reduced \( H_1 \) to 246 (and conditionally to 6). | CONNECTION: No direct geometric ratio or crystallographic link; prime gaps relate to additive number theory, not harmonic ratios. | DEPTH: 8 — Profound for analytic number theory, but no geometric or universal structure revealed. 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
2026-08-14
DOI
https://doi.org/10.5281/zenodo.21928821
Primary Topic
Intelligence, Security, War Strategy
Type
preprint
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Polymath Project Yields Explicit Bounds for Prime Gaps — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Intelligence, Security, War Strategy
preprint

Polymath Project Yields Explicit Bounds for Prime Gaps — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Polymath project on bounded gaps between primes yields explicit bounds for prime gaps. | MATH: \( H_m = \liminf_{n \to \infty} (p_{n+m} - p_n) \); Zhang's breakthrough gave finite bound for \( H_1 \); Polymath reduced \( H_1 \) to 246 (and conditionally to 6). | CONNECTION: No direct geometric ratio or crystallographic link; prime gaps relate to additive number theory, not harmonic ratios. | DEPTH: 8 — Profound for analytic number theory, but no geometric or universal structure revealed. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Intelligence, Security, War Strategy
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Polymath Project Yields Explicit Bounds for Prime Gaps — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS