# This is beauty, not a beast!

Calculus Level 5

Let $$p$$ be the set of prime numbers. If

$\prod _{ p }^{ }{ \left( \sum _{ n=0 }^{ \infty }{ { p }^{ -4n } } \right) } =\frac { { \pi }^{ A } }{ B } ,$ where $$A, B$$ are positive integers, find $$A + B$$.

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