View source for 2018 OIM Problems/Problem 4

== Problem ==
A set "X" of positive integers is "''Iberian''" if <math>X</math> is a subset of <math>{2,3,4,\cdots,2018}</math>, and when <math>m</math> and <math>n</math> are elements of <math>X</math>, then the <math>gcd(m,n)</math> also belongs to <math>X</math>.  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

== Solution ==
{{solution}}

== See also ==
[[OIM Problems and Solutions]]