Question 62
Positive integers $a$, $b$ and prime number $p$ satisfy the equation $a^2 + p^2 = b^2$.
Prove that $2(b + p)$ is a perfect square.
Prove that $2(b + p)$ is a perfect square.
MathNet 2015-part-02 — 191 problems (EN–VI) Question 62
Math Olympiad Vault · MathNet 2015-part-02 — 191 problems (EN–VI)