Definition:Congruence (Number Theory)/Incongruence

Definition

Let $a$ and $b$ be such that $a$ and $b$ are not congruent modulo $n$.

Then $a$ and $b$ are incongruent modulo $n$ and we write:

$a \not \equiv b \pmod n$

Also see

• Results about congruence in the context of number theory can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): congruence modulo $n$ (C.F. Gauss, 1801)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): congruence modulo $n$ (C.F. Gauss, 1801)