MathDB

A2

Part of 2017-IMOC

Problems(1)

x+f(y)|f(y+f(x)) and f(x)-2017|x-2017

Source: IMOC 2017 A2

8/12/2021
Find all functions f:Nā†’Nf:\mathbb N\to\mathbb N such that \begin{align*} x+f(y)&\mid f(y+f(x))\\ f(x)-2017&\mid x-2017\end{align*}
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