Question 31
Prove that there are finitely many prime numbers p such that
• p – 8 is a perfect square, and
• for all odd positive integers $k \lt \sqrt{p}$, the number $p - k^{2}$ has at most two distinct prime factors.
• p – 8 is a perfect square, and
• for all odd positive integers $k \lt \sqrt{p}$, the number $p - k^{2}$ has at most two distinct prime factors.