Aurifeuillean Factorization
A factorization of the form
 | (1) |
was discovered by Aurifeuille, and the general form was subsequently discovered by Lucas.The large factors are sometimes written as 
and 
as follows |  |  | (2) |
 | |  | |
| (3) |
which can be written
 | |  | (4) |
 | |  | (5) |
 | |  | (6) |
where
and | |  | (7) |
 | |  | (8) |
 | |  | (9) |
See also Gauss's Formula
References
Brillhart, J.; Lehmer, D. H.; Selfridge, J.; Wagstaff, S. S. Jr.; and Tuckerman, B. Factorizations of Wagstaff, S. S. Jr. ``Aurifeullian Factorizations and the Period of the Bell Numbers Modulo a Prime.'' Math. Comput. 65, 383-391, 1996.
, 
, 
Up to High Powers, rev. ed. Providence, RI: Amer. Math. Soc., pp. lxviii-lxxii, 1988.
- Canonical Transformation
- Cantor Comb
- Cantor-Dedekind Axiom
- Cantor Diagonal Method
- Cantor Diagonal Slash
- Cantor Dust
- Cantor Function
- Cantor's Equation
- Cantor Set
- Cantor's Paradox
- Cantor Square Fractal
- Cantor's Theorem
- Cap
- Capacity
- Capacity Dimension
- Carathéodory Derivative
- Carathéodory's Fundamental Theorem
- Cardano's Formula
- Cardinality
- Cardinal Number
- Cardioid
- Cardioid Caustic
- Cardioid Evolute
- Cardioid Inverse Curve
- Cardioid Involute