Question 168
Compute the number of ordered pairs of positive integers $(a, b)$ satisfying the equation
$$
\operatorname{gcd}(a, b) \cdot a + b^2 = 10000.
$$
$$
\operatorname{gcd}(a, b) \cdot a + b^2 = 10000.
$$
MathNet 2022-part-06 — 196 problems (EN–VI) Question 168
Math Olympiad Vault · MathNet 2022-part-06 — 196 problems (EN–VI)