The diophantine equation $\left(2^{k}-1\right)\left(3^{k}-1\right)=x^{n}$
Number Theory
2025-07-29 v2
Abstract
In this paper, we investigate the Diophantine equation and prove that it has no solutions in positive integers .
Cite
@article{arxiv.2501.04050,
title = {The diophantine equation $\left(2^{k}-1\right)\left(3^{k}-1\right)=x^{n}$},
author = {Bo He and Chang Liu},
journal= {arXiv preprint arXiv:2501.04050},
year = {2025}
}
Comments
6 pages