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MathNet 2004 — Part 01 Question 152

Math Olympiad Vault · MathNet 2004 — Part 01

Question 152

Determine all sets $M$ of natural numbers such that for every two (not necessarily different) elements $a, b$ from $M$ too
$$
\frac{a+b}{\operatorname{ggT}(a, b)}
$$
located in $M$.