olymmath

OIM 2018 Problem 4

    A set XX of positive integers is said to be iberic if XX is a subset of {2,3,…,2018}\{2, 3, \dots, 2018\} , and whenever m,nm, n are both in XX , gcd⁡(m,n)\gcd(m, n) is also in XX . An iberic set is said to be olympic if it is not properly contained in any other iberic set. Find all olympic iberic sets that contain the number 3333 .

    Dataset text AI-MO AoPS. Quoted with source.

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