I Brazilian TST 2007 - Problem 4
Source: 2007 Brazil TST, Russia TST, and AIMO; also SL 2006 N5
March 11, 2007
number theoryIMO Shortlist
Problem Statement
Find all integer solutions of the equation \frac {x^{7} \minus{} 1}{x \minus{} 1} \equal{} y^{5} \minus{} 1.