Question 42
An integer $k \gt 1$ is called superb if there exist three positive integers $m, n, a$ such that
$$
5^{m} + 63 n + 49 = a^{k}
$$
Determine the smallest superb integer.
$$
5^{m} + 63 n + 49 = a^{k}
$$
Determine the smallest superb integer.