A factorization of the form

(1) |

(2) | |||

(3) |

which can be written

(4) | |||

(5) | |||

(6) |

where and

(7) | |||

(8) | |||

(9) |

**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.

© 1996-9

1999-05-25