Question 73
Prove there are no integers $a$ and $b$ satisfying the following conditions:
i) $16 a - 9 b$ is a prime number
ii) $a b$ is a perfect square
iii) $a + b$ is a perfect square
i) $16 a - 9 b$ is a prime number
ii) $a b$ is a perfect square
iii) $a + b$ is a perfect square