English

A heuristic study of prime number distribution

Number Theory 2020-08-11 v1

Abstract

This work consists of a heuristic study on the distribution of prime numbers in short intervals. We have modelled the occurrence of prime numbers such intervals as a counting experiment. As a result, we have provided an experimental validation and an extension of the Montgomery and Soundararajan conjecture. This is a reduced version of my bachelor`s thesis presented at the University of Valencia.

Keywords

Cite

@article{arxiv.2008.03608,
  title  = {A heuristic study of prime number distribution},
  author = {Carlos Ros Pérez},
  journal= {arXiv preprint arXiv:2008.03608},
  year   = {2020}
}

Comments

10 pages, 3 figures

R2 v1 2026-06-23T17:43:34.435Z