Question 125
Let $m$, $n$, $r$ be positive integers satisfying $n \gt m$, where both $m^2 + r$ and $n^2 + r$ are powers of $2$. Prove that:
$$
n \gt \frac{2m^2}{r}.
$$
$$
n \gt \frac{2m^2}{r}.
$$
MathNet 2024-part-01 — 168 problems (EN–VI) Question 125
Math Olympiad Vault · MathNet 2024-part-01 — 168 problems (EN–VI)