On Amicable Numbers
arXiv:2409.08783 · doi:10.56031/2693-9908.1088
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.
79 pages, including two appendices. Updated following referees' comments. Accepted for publication in Euleriana