Menu
Home
People
Places
Arts
History
Plants & Animals
Science
Life & Culture
Technology
Reference.org
Table of Gaussian integer factorizations
open-in-new
<p>A <a href="/facts/Gaussian_integer/zj82AhtL">Gaussian integer</a> is either the zero, one of the four units (±1, ±<i>i</i>), a Gaussian prime or composite. The article is a table of Gaussian Integers <i>x</i> + <i>iy</i> followed either by an explicit factorization or followed by the label (p) if the integer is a <a href="/facts/Gaussian_prime/zj82AhtL">Gaussian prime</a>. The factorizations take the form of an optional <a href="/facts/Unit_(ring_theory)/GJSBu8Y7">unit</a> multiplied by integer powers of Gaussian primes. </p><p>Note that there are <a href="/facts/List_of_prime_numbers/lkGexefS">rational primes</a> which are not Gaussian primes. A simple example is the rational prime 5, which is factored as 5=(2+i)(2−i) in the table, and therefore not a Gaussian prime. </p>