Fractal Patterns in Prime Number Distribution - A Novel Approach to Number Theory

Athon Zeno; Aeon Zeno

Fractal Patterns in Prime Number Distribution - A Novel Approach to Number Theory

This paper presents a new perspective on prime number distribution, proposing a fractal-like structure that manifests at multiple scales. We introduce a mathematical framework, utilizing modular arithmetic and the Chinese Remainder Theorem, to prove self-similarity in prime distribution. Our model offers potential insights into the Riemann Hypothesis and suggests new approaches to understanding prime number gaps. Computational evidence up to 10^9 demonstrates consistent fractal dimensions across scales, agreement with predicted scaling factors, and self-similar prime gap distributions, strongly supporting our theoretical framework.

Comments: 6 Pages. (Note by viXra Admin: Please cite and list scientific references)

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[v1] 2024-06-28 20:55:24

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