Aurifeuillian factorization
Encyclopedia
In number theory
, an aurifeuillian factorization is a factorization of the form
Aurifeuille discovered the factorization for n = 14 in 1871, as the following:
The second factor is prime, and the factorization of the first factor is
The general form of the factorization was later discovered by Lucas
.
Number theory
Number theory is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers as well...
, an aurifeuillian factorization is a factorization of the form
Aurifeuille discovered the factorization for n = 14 in 1871, as the following:
The second factor is prime, and the factorization of the first factor is
The general form of the factorization was later discovered by LucasEdouard Lucas
François Édouard Anatole Lucas was a French mathematician. Lucas is known for his study of the Fibonacci sequence. The related Lucas sequences and Lucas numbers are named after him.-Biography:...
.
External links
- Aurifeuillian factorization, American Mathematical SocietyAmerican Mathematical SocietyThe American Mathematical Society is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, which it does with various publications and conferences as well as annual monetary awards and prizes to mathematicians.The society is one of the...
- Aurifeuillian Factorisation, Colin Barker