Question 2
Find all pairs of natural numbers $(n;k)$, where $n$ is a nonnegative integer and $k$ is an integer greater than $1$, such that
$$A=17^{2006n}+4\cdot17^{2n}+7\cdot19^{5n}$$
can be expressed as a product of $k$ consecutive positive integers.
$$A=17^{2006n}+4\cdot17^{2n}+7\cdot19^{5n}$$
can be expressed as a product of $k$ consecutive positive integers.