On Amicable Numbers

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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Publication Details

Journal
Euleriana
Published
2025-09-04
DOI
https://doi.org/10.56031/2693-9908.1088
Primary Topic
Computability, Logic, AI Algorithms
Type
article
Field-Weighted Citation Impact
0.00
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article

On Amicable Numbers

Jonathan David Evans
Euleriana
Computability, Logic, AI Algorithms
article

On Amicable Numbers

Jonathan David Evans
article en

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.

EulerianaVol. 5(1)
Lancaster University (GB)
Openalex Percentile: Top 75%
Computability, Logic, AI Algorithms
DOIOpen Access PDFOpenAlex
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On Amicable Numbers — Jonathan David Evans · Euleriana (2025) | TGRS Research Map | TGRS