# A product of our times

Calculus Level 3

$\large \displaystyle\prod_{n=0}^{\infty} \left( 1 + \dfrac{1}{2015^{2^{n}}} \right) = \dfrac{a}{b}$

For the equation above, given that $$a$$ and $$b$$ are positive coprime integers, find $$a + b.$$

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