# Definition:Integer Combination

## Definition

Let $a, b \in \Z$.

An integer $n$ of the form:

$n = p a + q b: p, q \in \Z$

is an integer combination of $a$ and $b$.

## Also known as

This is also known as:

a linear combination of $a$ and $b$
an integral linear combination of $a$ and $b$.

## Also see

• Results about integer combinations can be found here.