Describe Prime number gaps pattern by Logistic mapping

TL;DR

This paper proposes that prime number gap patterns can be modeled using the chaos orbit of a specific Logistic map, suggesting the existence of infinitely many twin primes.

Contribution

It introduces a novel approach linking prime gaps to chaos theory via symbolic dynamics and Logistic mapping.

Findings

Prime gaps can be described by Logistic map dynamics.

The model implies infinitely many twin primes.

Chaos orbit analysis relates to prime distribution patterns.

Abstract

Based on symbolic dynamics methods, we show the primes gap pattern could be described by the chaos orbit of Logistic mapping X(k+1)=1-uX(k)^2, u=1.5437. If so, there will be arbitrarily many twin primes.