The residue classes of a function mod are all possible values of the Residue . For example, the residue classes of (mod 6) are , since
The residue classes prime to form a Group under the binary multiplication operation (mod ), where is the Totient Function (Shanks 1993) and the Group is classed a Modulo Multiplication Group.
See also Complete Residue System, Congruence, Cubic Number, Quadratic Reciprocity Theorem, Quadratic Residue, Residue (Congruence), Square Number
Shanks, D. Solved and Unsolved Problems in Number Theory, 4th ed. New York: Chelsea, p. 56 and 59-63, 1993.