On Amicable Numbers
History and Overview
2025-09-08 v2 Number Theory
Abstract
This is an English translation of Euler's 1750 paper "De numeris amicabilibus" (E152), the most substantial of his three works with this name. In it, he expounds at great length the ad hoc methods he has developed to search for pairs of amicable numbers, concluding with a list of around 60 new pairs.
Keywords
Cite
@article{arxiv.2409.08783,
title = {On Amicable Numbers},
author = {Leonhard Euler and Jonathan David Evans},
journal= {arXiv preprint arXiv:2409.08783},
year = {2025}
}
Comments
79 pages, including two appendices. Updated following referees' comments. Accepted for publication in Euleriana