Question 160
Prove that for infinitely many positive integers $k$, there are no positive integers $m$ and $n$ satisfying
$$
\frac{n^2 + m^2}{m^4 + n} = k.
$$
$$
\frac{n^2 + m^2}{m^4 + n} = k.
$$
MathNet 2023-part-06 — 191 problems (EN–VI) Question 160
Math Olympiad Vault · MathNet 2023-part-06 — 191 problems (EN–VI)