2012/03/09 by Leonhard Euler, Euler, Leonhard, Artur Diener +3 · 1 citation
Mathematics · Social Sciences · #FOS: Mathematics #Historical and Literary Studies #History and Overview (math.HO) #History and Theory of Mathematics
paper · pdf · doi:10.48550/arxiv.1203.1993
openalex publication_date 2012/03/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Euler presents a third proof of the Fermat theorem, the one that lets us call it the Euler-Fermat theorem. This seems to be the proof that Euler likes best. He also proves that the smallest power xn that, when divided by a numer N, prime to x, and that leaves a remainder of 1, is equal to the number of parts of N that are prime to n, that is to say, the number of distinct aliquot parts of N. The translation is presnted from Euler's Latin original into German.