Definition:Aurifeuillian Factorization

Definition
An Aurifeuillian factorization is an operation to find the prime factors of integers of various forms based upon the identity:


 * $a^2 + b^2 = \left({a + \sqrt {2a b} + b}\right) \left({a - \sqrt{2ab} + b}\right)$

Also known as
The term Aurifeuillian can also be seen as Aurifeuillean.