On practical numbers of some special forms
Number Theory
2019-07-12 v2
Abstract
In this paper we study practical numbers of some special forms. For any integers and , we show that if is practical for some integer , then there are infinitely many nonnegative integers with practical. We also prove that there are infinitely many practical numbers of the form with practical, and that there are infinitely many practical Pythagorean triples with (or ).
Keywords
Cite
@article{arxiv.1809.01532,
title = {On practical numbers of some special forms},
author = {Li-Yuan Wang and Zhi-Wei Sun},
journal= {arXiv preprint arXiv:1809.01532},
year = {2019}
}
Comments
6 pages, refined version