2018 OIM Problems/Problem 4

Problem

A set "X" of positive integers is "Iberian" if $X$ is a subset of ${2,3,4,\cdots,2018}$ , and when $m$ and $n$ are elements of $X$ , then the $gcd(m,n)$ also belongs to $X$ . And Iberian set is "Olympic" if it is not contained in another Iberian set. Find all Iberian Olympic sets that contain the number 33.

~translated into English by Tomas Diaz. ~orders@tomasdiaz.com

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2018 OIM Problems/Problem 4

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