# Using Fermat's Little Theorem

**Number Theory**Level 3

\[ \large (n+2017)^{p}-n^{p}-2016^{p}-1 \]

Assuming that \(p\) is a prime number and \(n\) is an arbitrary natural number, find the remainder when the expression above is divided by \(p\).

\[ \large (n+2017)^{p}-n^{p}-2016^{p}-1 \]

Assuming that \(p\) is a prime number and \(n\) is an arbitrary natural number, find the remainder when the expression above is divided by \(p\).

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