Question 32
Find all the prime numbers $p$ for which there exist positive integers $x$ and $y$ that satisfy the equation
$$
x(y^2 - p) + y(x^2 - p) = 5p
$$
$$
x(y^2 - p) + y(x^2 - p) = 5p
$$
MathNet 2011 Question 32
Math Olympiad Vault · MathNet 2011