Polymath Collaboration Narrows Prime Gap Bound from 70 Million to 246 — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: FINDING: Polymath project on bounded gaps between primes yields explicit bounds for prime gaps via collaborative distributed reasoning. | MATH: \( H_m := \liminf_{n \to \infty} (p_{n+m} - p_n) \); Zhang's breakthrough gave \( H_1 \leq 70,000,000 \); subsequent Polymath refinements reduced to \( H_1 \leq 246 \). No new constants or ratios beyond prime gap scaling. | CONNECTION: No direct geometric harmony (0.382, 0.618, etc.) or base-60 or crystallographic symmetry. Prime gaps are arithmetic, not geometric in nature. | DEPTH: 6 — significant collaborative methodology, but the mathematical essence is a refinement of known bounds, not a new structural constant or symmetry. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7203898832
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