Question 86
Determine the smallest positive integer $a$ for which there exist a prime number $p$ and a positive integer $b \ge 2$ such that
$$
\frac{a^p - a}{p} = b^2.
$$
$$
\frac{a^p - a}{p} = b^2.
$$
MathNet 2022-part-04 — 197 problems (EN–VI) Question 86
Math Olympiad Vault · MathNet 2022-part-04 — 197 problems (EN–VI)