Notes on Thābit ibn Qurra and his rule for amicable numbers
type: Item
instance of: scholarly article
title: Notes on Thābit ibn Qurra and his rule for amicable numbers
zbMATH Open document ID: 0689.01001
DOI: 10.1016/0315-0860(89)90084-0
author: Sonja Brentjes
author: Jan P. Hogendijk
published in: Historia Mathematica
publication date: 1989-01-01T00:00:00Z
review text: Thābit's rule, and, in brief, the contents of his text are given. A conjecture is added to tell how Thābit might have come about the rule. This conjecture is built upon the two amicable numbers, 220 and 284, already given by Iamblichus. Some readers may find that the conjecture may be more complicated than Thābit's ten theorems which lead to his rule. Modern findings have shown that his conditions are necessary but not sufficient, thus giving at least one pair of amicable numbers, which does not agree in full with his rule.
Mathematics Subject Classification ID: 01A30
Mathematics Subject Classification ID: 11-03
zbMATH DE Number: 4128766
zbMATH Keywords: Iamblichus
MaRDI profile type: Publication
full work available at URL: 0315-0860(89)90084-0
OpenAlex ID: W2002164908
cites work: Untersuchungen zum Nicomachus Arabus
cites work: Q3234138
cites work: Thābit ibn Qurra and the pair of amicable numbers 17296, 18416
cites work: Q3686661
cites work: Q3794144
description: scientific article; zbMATH DE number 4128766