More fun in 2015, Part 22

Algebra Level 4

\[P=\prod_{n=0}^{\infty}\left(1+\frac{1}{2015^{2^n}}\right)\]

\(P\) can be written as \(P=\frac{a}{b}\) for two co-prime positive integers \(a\) and \(b\). Enter \(a-b\).

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