Question 38
Prove that for each positive integer $m$, one can find $m$ consecutive positive integers like $n$ such that the following expression is not a perfect power
$$
(1^3 + 2018^3)(2^3 + 2018^3)\cdots(n^3 + 2018^3)
$$
$$
(1^3 + 2018^3)(2^3 + 2018^3)\cdots(n^3 + 2018^3)
$$