SOMER-LUCAS PSEUDOPRIME

In mathematics, in particular number theory, an odd composite number ''N'' is a 'Somer-Lucas ''d''-pseudoprime' (with given d$le$1) if there exists a nondegenerate Lucas sequence
:$U(P,Q)$
with
:$U\_0=0,\; U\_1=1,\; D=P^2-4Q$,
such that
:$(N,D)=1$
and the rank appearance of ''N'' in the sequence $U(P,Q)$ is
:$(1/a)(N-(D/N))$,
where
:$(D/N)$
is the Jacobi symbol.