# Definition:Parity of Integer

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## Definition

Let $z \in \Z$ be an integer.

The **parity** of $z$ is whether it is even or odd.

That is:

- an integer of the form $z = 2 n$, where $n$ is an integer, is of
**even parity**; - an integer of the form $z = 2 n + 1$, where $n$ is an integer, is of
**odd parity**.

- If $z_1$ and $z_2$ are either both even or both odd, $z_1$ and $z_2$ have
**the same parity**. - If $z_1$ is even and $z_2$ is odd, then $z_1$ and $z_2$ have
**opposite parity**.

## Also see

## Sources

- 1986: David Wells:
*Curious and Interesting Numbers*... (previous) ... (next): $2$ - 1997: David Wells:
*Curious and Interesting Numbers*(2nd ed.) ... (previous) ... (next): $2$