Euler-Lucas Pseudoprime
Let 
and 
be Lucas Sequences generated by 
and 
, and define
Then
where
is the Legendre Symbol. An Odd Composite Number 
such that 
(i.e., and 
are Relatively Prime) is called an Euler-Lucas pseudoprime with parameters 
.See also Pseudoprime, Strong Lucas Pseudoprime
References
Ribenboim, P. ``Euler-Lucas Pseudoprimes (elpsp(
)) and Strong Lucas Pseudoprimes (slpsp()).'' §2.X.C in The New Book of Prime Number Records. New York: Springer-Verlag, pp. 130-131, 1996.
- Zeisel Number
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