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Turkish MO 1995 P6

Source: Turkish Mathematical Olympiad 2nd Round 1995

September 30, 2006
functionnumber theory unsolvednumber theory

Problem Statement

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)\mid f(n) \mbox{ if and only if }m\mid n.
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