# Seems Like a Popular Problem!

Algebra Level 5

$\left(1- \frac{1}{2^2}\right)\left(1- \frac{1}{3^2}\right)\left(1- \frac{1}{4^2}\right) \cdots \left(1- \frac{1}{2017^2}\right)$

The expression above can expressed in a form of $\frac{1}{n} + \frac{1}{m}$ where $n \lt m$ are positive integers.

Find the value of $2017n + 2m$.

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