Define the sequence of positive prime numbers. $p_1,p_2,p_3,...$. Let set $A$ be the infinite set of positive integers whose prime divisor does not exceed $p_n$. How many at least members must be selected from the set $A$ , such that we ensures that there are $2$ numbers whose products are perfect squares? (PP-nine)
Problem
Source: Mathcenter Contest / Oly - Thai Forum 2012 (R1) p3 sl-11 https://artofproblemsolving.com/community/c3196914_mathcenter_contest
Tags: number theory, Perfect Squares