Question 34
Let $f: N \to N$ be a function such that
$$
f(ab) = f(a+b)
$$
for all positive integers $a \ge 4$ and $b \ge 4$.
Prove that $f(n) = f(8)$ for all positive integers $n \ge 8$.
$$
f(ab) = f(a+b)
$$
for all positive integers $a \ge 4$ and $b \ge 4$.
Prove that $f(n) = f(8)$ for all positive integers $n \ge 8$.