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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.
See also Lucas Sequence, Pseudoprime
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.