English

Describe Prime number gaps pattern by Logistic mapping

Number Theory 2013-07-16 v2 Chaotic Dynamics

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.

Keywords

Cite

@article{arxiv.1306.3626,
  title  = {Describe Prime number gaps pattern by Logistic mapping},
  author = {Wang Liang},
  journal= {arXiv preprint arXiv:1306.3626},
  year   = {2013}
}

Comments

8 pages,3 figures. arXiv admin note: substantial text overlap with arXiv:math/0601517

R2 v1 2026-06-22T00:34:25.927Z