MathDB
K 2

Source:

May 25, 2007
functioninductionstrong inductionnumber theoryprime factorizationFunctional Equations

Problem Statement

Find all surjective functions f:N→Nf: \mathbb{N}\to \mathbb{N} such that for all m,n∈Nm,n\in \mathbb{N}: m∣n⟺f(m)∣f(n).m \vert n \Longleftrightarrow f(m) \vert f(n).
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