Residue class
In modular arithmetic, a residue of an integer in modulo is the unique value of such that . In the context of division, a residue is simply a remainder.
A residue class is a complete set of integers that are congruent modulo for some positive integer . In modulo , there are exactly different residue classes, corresponding to the possible residues
Each residue class contains all integers in the form where is the corresponding residue.