# Definition:Goldbach Decomposition

## Definition

Let $n \in \Z_{>0}$ be a positive integer such that $n$ is even.

A Goldbach decomposition for $n$ is a pair of primes $p_1, p_2$ such that:

$p_1 + p_2 = n$

## Also known as

A Goldbach decomposition is also known as a Goldbach partition.

## Source of Name

This entry was named for Christian Goldbach.