# 100 Follower Problem NumberTheory

Let $$\mathbb{Z_{>0}}$$ be the set of positive integers. Find all functions $$f: \mathbb{Z_{>0}} \rightarrow \mathbb{Z_{>0}}$$ such that

$\large {m^2+f(n)|mf(m)+n}$

for all positive integers $$m$$ and $$n$$

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