IMO 2021 Shortlist N5
Prove that there are only finitely many quadruples pa,b,c,nq of positive integers such that n! “an´1 bn´1 cn´1 .
Category: Number Theory
Problem
Prove that there are only finitely many quadruples pa,b,c,nq of positive integers such
that
n! “an´1
bn´1 cn´1
.