# The trend of huge number (2)

$\large {2016!}^{{2017!}^{{2018!}}} \times {2015!}^{{2016!}^{{2017!}}} \equiv \, ? \pmod {2017}$

Notation: $$!$$ denotes the factorial notation. For example, $$8! = 1\times2\times3\times\cdots\times8$$.

Hints :You may find Wilson's theorem useful.

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