What is the remainder when $2015!$ is divided by $2017$ ?

The answer is 1.

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Wilson told us,

$2016! \equiv -1 \pmod{2017}$

or, $2016! \equiv 2016 \pmod{2017}$

or, $2015! \equiv 1 \pmod{2017}$ [Dividing both sides by $2016$ ]

The remainder is $\boxed{1}$ ,when $2015!$ is divided by 2017.