Powerless in face of the powers
type: Item
instance of: scholarly article
title: Powerless in face of the powers
zbMATH Open document ID: 0635.10013
author: Paulo Ribenboim
published in: Expositiones Mathematicae
publication date: 1988-01-01T00:00:00Z
review text: This is a wide ranging survey of recent works on Fermat's Last Theorem, consecutive powers, Fermat quotients, and powerful numbers. A great number of results and conjectures are given, and the relations between them are explained. Many of these would imply that the first case of Fermat's Last Theorem holds for infinitely many primes, a result obtained by \textit{L. M. Adleman}, \textit{É. Fouvry} and the reviewer [Invent. Math. 79, 409--416 (1985; Zbl 0557.10034) and ibid. 79, 383--407 (1985; Zbl 0557.10035)] by quite different methods.
reviewed by: D. R. Heath-Brown
Mathematics Subject Classification ID: 11D41
Mathematics Subject Classification ID: 11A51
Mathematics Subject Classification ID: 11-02
zbMATH DE Number: 4033823
zbMATH Keywords: survey
zbMATH Keywords: Fermat's Last Theorem
zbMATH Keywords: consecutive powers
zbMATH Keywords: Fermat quotients
zbMATH Keywords: powerful numbers
zbMATH Keywords: conjectures
zbMATH Keywords: first case of Fermat's Last Theorem
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4033823