7 Sept 2013

APMO 2004 Q1: Upper Secondary Mathematics Competition Question

Determine all finite non-empty sets S of positive integers satisfying

(i + j)/gcd(i, j) is an element of S for all i, j in S.

The gcd(i, j) is the greatest common divisor of i and j.

[APMO 2004 Q1][edited so easier to read online]

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