# 2015 welcomes Kishlaya's Identity!

Let $P(n) = \sum_{m=1}^\infty \left(\prod_{k=0}^n \frac{1}{m+k}\right)$ And $Q(n) = \sum_{k=1}^n \frac{1}{P(k)}$

Then find the last $4$ digits of $Q(2015)+2015$

×