In mathematics, in particular number theory, an odd composite number N is a Somer–Lucas d-pseudoprime (with given d ≥ 1) if there exists a nondegenerate Lucas sequence with the discriminant such that and the rank appearance of N in the sequence U(P, Q) is
where is the Jacobi symbol.
- Weisstein, Eric W., "Somer–Lucas Pseudoprime", MathWorld.
- Ribenboim, P. (1996). "§2.X.D Somer-Lucas Pseudoprimes". The New Book of Prime Number Records (3rd ed. ed.). New York: Springer-Verlag. pp. 131–132.