Complete residue system
A Complete residue system modulo is a set of integers which satisfy the following condition: Every integer is congruent to a unique member of the set modulo .
In other words, the set contains exactly one member of each residue class.
Examples
, , and are all Complete residue systems .
is a complete residue system , for any integer and positive integer . Basically, any consecutive string of integers forms a complete residue system .