A factorization of the form
(1) |
(2) | |||
(3) |
(4) | |||
(5) | |||
(6) |
(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 , ,
Up to High Powers, rev. ed.
Providence, RI: Amer. Math. Soc., pp. lxviii-lxxii, 1988.
Wagstaff, S. S. Jr. ``Aurifeullian Factorizations and the Period of the Bell Numbers Modulo a Prime.''
Math. Comput. 65, 383-391, 1996.