Question 72
Find all triples $(x, y, p)$ satisfying
$$
x^2 - 3xy + p^2y^2 = 12p
$$
where $x, y$ are integers and $p$ is a prime number.
$$
x^2 - 3xy + p^2y^2 = 12p
$$
where $x, y$ are integers and $p$ is a prime number.
MathNet 2012 Question 72
Math Olympiad Vault · MathNet 2012