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Number Theory
# Basic Applications of Modular Arithmetic

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Find the remainder when \(2016!-2015!\) is divided by \(2017\).

You may use the fact that \(2017\) is prime.

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Daniel Liu**

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What is the remainder when \({7}^{88}\) is divided by \(11?\)

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Gene Keun Chung**

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Ikkyu San**

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Ahmed Mahmoud**

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