On the generalized Wieferich criteria
Jiro Suzuki · Proceedings of the Japan Academy Series A Mathematical Sciences · 1994
Abstraet: If x p -I-yP -F z 0, (p, xyz) 1 has a solution, then a p-1 1 (modp) for a < 113.0. Introduction.Let p be an odd prime.Throughout this paper we assume that there exists a solution of Fermat's equation x p -+-yP q-z 0 such that (p, xyz)= 1.Then a -1--1 (modpz) holds for a= 2. This is known as the Wieferich criterion.This criterion has been extended for