Residue class

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In modular arithmetic, a residue class is a complete set of integers that are congruent modulo $n$ for some positive integer $n$. In modulo $n$, there are exactly $n$ different residue classes, corresponding to the $n$ possible residues $\{0,1,2,3,... n-2, n-1\}$

Each residue class contains integers in the form $kn + r$ where $r$ is the corresponding residue.

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