infinite set of whose prime divisor does not exceed p_n, perfect squares
Source: Mathcenter Contest / Oly - Thai Forum 2012 (R1) p3 sl-11 https://artofproblemsolving.com/community/c3196914_mathcenter_contest
November 13, 2022
number theoryPerfect Squares
Problem Statement
Define the sequence of positive prime numbers. . Let set be the infinite set of positive integers whose prime divisor does not exceed . How many at least members must be selected from the set , such that we ensures that there are numbers whose products are perfect squares? (PP-nine)