MathDB
Easy x|yz-1, y|zx-1, z|xy-1

Source:

November 22, 2010
number theory proposednumber theory

Problem Statement

Determine all triples (x,y,z)(x,y,z) of integers greater than 11 with the property that xx divides yz1yz-1, yy divides zx1zx-1 and zz divides xy1xy-1.