Reminescences

A Short History of Amicable Numbers

Franka Miriam Brückler orcid.org/0000-0002-8410-0476 ; Matematički odsjek, Prirodoslovno-matematički fakultet, Sveučilište u Zagrebu

Abstract

In this paper we describe the history of amicable numbers, i.e. pairs
of positive integers such that each is the sum of all proper divisors of the other, from their first mention in ancient Greece up to the present. Special attention is given to the results of the two mathematicians who proved important general theorems on amicable numbers, Thabit ibn Qurra and Leonhard Euler

Keywords

amicable numbers, perfect numbers, number theory, pythagoreans, Thabit ibn Qurra, Marin Mersenne, Pierre de Fermat, René Descartes, Leonhard Euler, Nicolo Paganini

Hrčak ID:

310394

URI

https://hrcak.srce.hr/310394

Publication date:

30.11.2023.

Article data in other languages: croatian

Visits: 676 *