Question 105
Find all pairs of positive integers $(a, b)$ such that
$$
\frac{10^{a!} - 3^{b} + 1}{2^{a}}
$$
is a perfect square.
$$
\frac{10^{a!} - 3^{b} + 1}{2^{a}}
$$
is a perfect square.
MathNet 2024-part-05 — 168 problems (EN–VI) Question 105
Math Olympiad Vault · MathNet 2024-part-05 — 168 problems (EN–VI)