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2018 OIM Problems/Problem 4

Revision as of 13:26, 14 December 2023 by Tomasdiaz (talk | contribs) (Created page with "== 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...")
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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

Solution

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See also

OIM Problems and Solutions

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