# Sum of reciprocals of products

Number Theory Level pending

Let 2 integers $$a, b$$ be chosen such that

$\begin{cases} 1 \le a < b \le 2017 \\ a + b >2017 \\ \gcd (a,b) = 1 \end{cases}$

If $$\displaystyle \sum_{a,b}{\frac{1}{ab}} = \dfrac{m}{n}$$, for coprime positive integers $$m,n$$. Then give your answer as $$m+n$$

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