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Find all subsets of N-Iran 3rd round-Number Theory 2007

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July 28, 2010
number theory unsolvednumber theory

Problem Statement

Find all subsets of N\mathbb N like SS such that ∀m,n∈S  ⟹  m+ngcd⁡(m,n)∈S\forall m,n \in S \implies \dfrac{m+n}{\gcd(m,n)} \in S
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