# Coprime distribution

Given 2 randomly generated positive integers $$a$$ and $$b$$, the probability that they are coprime i.e. $$\text{gcd}(a,b)=1$$ can be written as $$P$$. If $$P$$ can be written as $$\dfrac {a}{b \pi^c}$$, find $$a + b + c$$ where the fraction has been reduced to lowest terms.

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