An Odd Composite Number is called a Somer-Lucas -pseudoprime (with ) if there Exists a nondegenerate Lucas Sequence with , , , such that and the rank appearance of in the sequence is , where denotes the Jacobi Symbol.

**References**

Ribenboim, P. ``Somer-Lucas Pseudoprimes.'' §2.X.D in
*The New Book of Prime Number Records, 3rd ed.* New York: Springer-Verlag, pp. 131-132, 1996.

© 1996-9

1999-05-26