IMO 2021 Shortlist N1
Determine all integers n ě 1 for which there exists a pair of positive integers pa,bq such that no cube of a prime divid...
Category: Number Theory
Problem
Determine all integers n ě 1 for which there exists a pair of positive integers pa,bq
such that no cube of a prime divides a2
b 3 and
ab 3b 8
a2 b 3
“n.