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TR-MO 1995 Problem 6

    Find all surjective functions f:N→Nf: \mathbb{N}\rightarrow \mathbb{N} such that for all m,n∈Nm,n\in \mathbb{N} f(m)∣f(n) if and only if m∣n.f(m)\mid f(n) \text{ if and only if }m\mid n.

    Dataset text AI-MO AoPS. Quoted with source.

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