OSN 2008 Problem 8

Find all function $f: \mathbb{N}\rightarrow\mathbb{N}$ satisfy $f(mn)+f(m+n)=f(m)f(n)+1$ for all natural number $n$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.