There are \(k\) consecutive positive integers, none of which is square-free.
What is the sum of all possible values of \(k\leq2017\)?
Details and Assumptions:
A positive integer \(n\) is square-free if there is no positive integer \(k>1\) such that \(k^2 \Big|\, n\).
Before solving this, you may want to solve this and this .