Primes in almost all short intervals
Number Theory
2025-09-26 v6
Abstract
The author sharpens a result of Jia (1996), showing that the interval contains prime numbers for almost all . Watt's mean value bound, a delicate sieve decomposition and more accurate estimates for integrals are used to good effect.
Cite
@article{arxiv.2407.05651,
title = {Primes in almost all short intervals},
author = {Runbo Li},
journal= {arXiv preprint arXiv:2407.05651},
year = {2025}
}
Comments
28 pages