# Inspired by Sharky Kesa

$\large \displaystyle \prod_{n=1729}^{2017} \sum_{k=1}^{\infty} \dfrac{n}{\binom{k+n}{k}}$

If the above expression is the form of $$\dfrac AB$$, where $$A$$ and $$B$$ are coprime positive integers, find $$A+B$$.

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