MathDB
Gaussian Prime Factorization

Source:

March 15, 2010

Problem Statement

A Gaussian prime is a Gaussian integer z\equal{}a\plus{}bi (where a a and b b are integers) with no Gaussian integer factors of smaller absolute value. Factor \minus{}4\plus{}7i into Gaussian primes with positive real parts. i i is a symbol with the property that i^2\equal{}\minus{}1.