Residue class
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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.





