Sieve Method and Prime Gaps via Probabilistic Method
Number Theory
2022-10-21 v1 Probability
Abstract
Most prime gaps results have been proven using tools from analytic or algebraic number theory in the last few centuries. In this paper, we would like to present some probabilistic way of proving many essential results. A major component of the proof is a probabilistic approach to the sieve method. In addition, we discuss their connections with recent work by Zhang and Maynard on small and large gaps in prime numbers.
Cite
@article{arxiv.2210.10980,
title = {Sieve Method and Prime Gaps via Probabilistic Method},
author = {Buxin Su},
journal= {arXiv preprint arXiv:2210.10980},
year = {2022}
}
Comments
15 pages, 0 figures