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.

**References**

Shanks, D. *Solved and Unsolved Problems in Number Theory, 4th ed.* New York: Chelsea, p. 56 and 59-63, 1993.

© 1996-9

1999-05-25