Aurifeuillean factorization

Aurifeuillean factorization is a method in number theory used to factor certain types of integers, particularly those that can be expressed as differences of squares in a specific way. Named after the mathematician Jean-Pierre Aurifeuil, this technique is particularly useful for factoring large integers efficiently, and it can be applied to integers of the form \( n = a^2 - b^2 \), which can be further rewritten as \( n = (a - b)(a + b) \).