Toward a dynamical model for prime numbers

TL;DR

This paper proposes a novel dynamical systems approach to understanding prime number distribution, utilizing complexity measures like Computable Information Content and Entropy Information Gain to explore analogies with intermittency.

Contribution

It introduces a new dynamical model for prime numbers based on complexity measures, offering fresh insights into their distribution patterns.

Findings

Prime numbers exhibit intermittency-like behavior in the proposed model.

Complexity measures reveal potential underlying structures in prime distribution.

The approach opens new avenues for analyzing primes through dynamical systems.

Abstract

We show one possible dynamical approach to the study of the distribution of prime numbers. Our approach is based on two complexity methods, the Computable Information Content and the Entropy Information Gain, looking for analogies between the prime numbers and intermittency.