Question 149
Find all pairs $(m, n)$ of positive integers such that both
$$
\frac{3n^2}{m} \quad \text{and} \quad \sqrt{n^2 + m}
$$
are integers.
$$
\frac{3n^2}{m} \quad \text{and} \quad \sqrt{n^2 + m}
$$
are integers.
MathNet 2022-part-05 — 197 problems (EN–VI) Question 149
Math Olympiad Vault · MathNet 2022-part-05 — 197 problems (EN–VI)