Given a Lucas Sequence with parameters and , discriminant , and roots and , the
Sylvester cyclotomic numbers are

where

is a Primitive Root of Unity and the product is over all exponents Relatively Prime to such that

**References**

Ribenboim, P. *The Book of Prime Number Records, 2nd ed.* New York: Springer-Verlag, p. 69, 1989.

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1999-05-26