Question 71
(a) Is there a positive integer $a$ such that $((a^2 - 2)^3 + 1)^a - 1$ is a perfect square?
(b) Is there a positive integer $a$ such that $((a^2 - 2)^3 + 1)^{a+1} - 1$ is a perfect square?
(b) Is there a positive integer $a$ such that $((a^2 - 2)^3 + 1)^{a+1} - 1$ is a perfect square?