The gaps in the multiplication table
Number Theory
2026-04-07 v3
Abstract
We determine the complete list of the gaps between successive elements of the multiplication table of the first N integers.
Cite
@article{arxiv.2405.02651,
title = {The gaps in the multiplication table},
author = {Emmanuel Kowalski and Vivian Kuperberg},
journal= {arXiv preprint arXiv:2405.02651},
year = {2026}
}
Comments
v3; 21 pages; expanded introduction; to appear (in a slightly shortened form) in the American Math. Monthly