Question 14
Decide if there is an arithmetic progression of $2016$ natural numbers that are not perfect powers but their product is a perfect power.
(A perfect power is a number of the form $n^k$ where $n$ and $k$ are natural numbers with $n \ge 2$, $k \ge 2$.)
(A perfect power is a number of the form $n^k$ where $n$ and $k$ are natural numbers with $n \ge 2$, $k \ge 2$.)