Lehmer Number

A number generated by a generalization of a Lucas Sequence. Let and be ComplexNumbers with

(1)

(2)

(3)

(4)

References

Lehmer, D. H. ``An Extended Theory of Lucas' Functions.'' Ann. Math. 31, 419-448, 1930.

Ribenboim, P. The Book of Prime Number Records, 2nd ed. New York: Springer-Verlag, pp. 61 and 70, 1989.

Williams, H. C. ``The Primality of .'' Canad. Math. Bull. 15, 585-589, 1972.

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