# A surprising constant

$\displaystyle K= \left(\prod _{ i=0 }^{ { p }^{ 2015 }-1 }{ \binom{{ p }^{ 2015 }-1}{i} } \right) \pmod p$

Find $$K$$, given that $$p$$ is a prime and is $$1$$ mod $$4$$.

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