Question 125
Find all triple of numbers $(x, y, p)$, where $x, y$ are positive integers and $p$ is a prime number, which satisfy the condition:
$$
y(x^2 + p) - x(y^2 + p) = p.
$$
$$
y(x^2 + p) - x(y^2 + p) = p.
$$
MathNet 2018-part-06 — 181 problems (EN–VI) Question 125
Math Olympiad Vault · MathNet 2018-part-06 — 181 problems (EN–VI)