Erdős Problem 935

### What is the conjecture

https://www.erdosproblems.com/935

For any integer $n=\prod p^{k_p}$ let $Q_2(n)$ be the powerful part of $n$, so that
$$Q_2(n) = \prod_{\substack{p\\ k_p\geq 2}}p^{k_p}.$$
Is it true that, for every $\epsilon>0$ and $\ell\geq 1$, if $n$ is sufficiently large then
$$Q_2(n(n+1)\cdots(n+\ell))