Nonexistence of Euler Boxes with Semiprime Sides
Number Theory
2024-01-11 v1
Abstract
In this paper we prove that there cannot exist a perfect Euler box with a semiprime side. We first display the proof, which uses nothing more than elementary number theory. Due to the elementary nature of this proof, it is possible that more complex techniques could be used to generalize it to a stronger constraint on Euler boxes; this is discussed at the end.
Cite
@article{arxiv.2401.05276,
title = {Nonexistence of Euler Boxes with Semiprime Sides},
author = {Riley Tao},
journal= {arXiv preprint arXiv:2401.05276},
year = {2024}
}
Comments
9 pages, 1 figure