One inequality inspired by Erd\H{o}s
Number Theory
2025-03-06 v1
Abstract
Inspired by the proof of the Bertrand postulate given by P. Erd\H{o}S, we carefully examine and solve one less usual inequality in positive integers which could help to find an arithmetically pure proof that for every positive integer there is a prime such that .
Cite
@article{arxiv.2503.03469,
title = {One inequality inspired by Erd\H{o}s},
author = {Barbora Batíková and Tomáš J. Kepka and Petr C. Němec},
journal= {arXiv preprint arXiv:2503.03469},
year = {2025}
}