Question 174
Find all prime numbers $p$ and positive integers $a, b, c$ such that
$$
2^a p^b = (p + 2)^c + 1.
$$
$$
2^a p^b = (p + 2)^c + 1.
$$
MathNet 2022-part-01 — 197 problems (EN–VI) Question 174
Math Olympiad Vault · MathNet 2022-part-01 — 197 problems (EN–VI)