An illustration of a paradox about the idoneal, or suitable, numbers

2005/07/18 by Leonhard Euler, Euler, Leonhard
Mathematics · #01A50 #11A41 #FOS: Mathematics #History and Overview (math.HO) #History and Theory of Mathematics #Mathematics and Applications #Number Theory (math.NT) #math.HO #math.NT #msc:01A50 #msc:11A41

paper · pdf · doi:10.48550/arxiv.math/0507352

4 pages, seems to be first English translation of Latin original ``Illustratio paradoxi circa progressionem numerorum idoneorum sive congruorum'', Nova Acta Academiae Scientarum Imperialis Petropolitinae 15 (1806), 29-32, E725

arxiv created 2005/07/18 · openalex publication_date 2005/07/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper Euler shows that there are no additional square idoneal numbers aside from 1, 4, 9, 16, and 25.

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