A Finite, Increasing Sequence of Integers , ..., such that

for , ..., , where indicates that Divides . A Carmichael sequence has exclusive Even or Odd elements. There are infinitely many Carmichael sequences for every order.

**References**

Borwein, D.; Borwein, J. M.; Borwein, P. B.; and Girgensohn, R. ``Giuga's Conjecture on Primality.''
*Amer. Math. Monthly* **103**, 40-50, 1996.

© 1996-9

1999-05-26