IMO 2021 Shortlist N3
Find all positive integers n with the following property: the k positive divisors of n have a permutation pd1,d2,...,dkq...
Category: Number Theory
Problem
Find all positive integers n with the following property: the k positive divisors of n
have a permutation pd1,d2,...,dkq such that for every i “1,2,...,k, the number d1 ¨¨¨di
is a perfect square.