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Definition (The Set ZN Of Integers Mod N)
For each positive integer $n$, let $\mathbb{Z}_n=\{0,1,2,\ldots, n-1\}$ which is the same as $\mathbb{Z}_n = \{k\mod n\mid k\in \mathbb{Z}\}$. This is just the set of remainders when dividing by $n$. We'll refer to them as the integers modulo $n$, or the integers mod $n$.
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