On Amicable Numbers
Leonhard Euler, Jonathan David Evans (translator)
TL;DR
This paper presents Euler's detailed methods for finding amicable number pairs, including a list of approximately 60 new pairs discovered through his ad hoc techniques.
Contribution
It provides a comprehensive translation and analysis of Euler's 1750 work, highlighting his innovative methods for identifying amicable numbers.
Findings
Discovered around 60 new amicable pairs
Detailed Euler's ad hoc search methods
Enhanced understanding of amicable number properties
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.
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Taxonomy
TopicsHistory and Theory of Mathematics · Mathematics and Applications