Factoring Gaussian Integers
Every nonzero Gaussian integer , where and are ordinary integers and can be expressed uniquely as the product of a unit and powers of special Gaussian primes. Units are 1, , -1, . Special Gaussian primes are and primes with and .
J. H. Conway and R. K. Guy, The Book of Numbers, New York: Copernicus Books/Springer, 2006 pp. 217–220.