Another inequality inspired by Erd\H{o}s
Number Theory
2025-03-07 v1
Abstract
In our effort to find an arithmetically pure proof of the Bertrand postulate, we investigate and solve (using only elementary arithmetical methods) another less usual inequality in positive integers inspired by the classical proof of the postulate given by P. Erd\H{o}s.
Keywords
Cite
@article{arxiv.2503.03795,
title = {Another inequality inspired by Erd\H{o}s},
author = {Barbora Batíková and Tomáš J. Kepka and Petr C. Němec},
journal= {arXiv preprint arXiv:2503.03795},
year = {2025}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2503.03469