# Consecutive Square-Infected Positive Integers

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 .

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