# 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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