IMO 2014 Shortlist N5
Find all triples pp,x,yq consisting of a prime number p and two positive integers x and y such that xp´1 y and x yp´1 ar...
Category: Number Theory
Problem
Find all triples pp,x,yq consisting of a prime number p and two positive integers x and y
such that xp´1
y and x yp´1
are both powers of p.
(Belgium)