Explicit bounds for large gaps between squarefree integers
Number Theory
2023-08-29 v3
Abstract
We obtain explicit forms of the current best known asymptotic upper bounds for gaps between squarefree integers. In particular we show, for any , that every interval of the form contains a squarefree integer. The constant 11 can be improved further, if is assumed to be larger than a (very) large constant.
Keywords
Cite
@article{arxiv.2211.09975,
title = {Explicit bounds for large gaps between squarefree integers},
author = {Angel Kumchev and Wade McCormick and Nathan McNew and Ariana Park and Russell Scherr and Willow Ziehr},
journal= {arXiv preprint arXiv:2211.09975},
year = {2023}
}