## Fibonacci Pseudoprime

Consider a Lucas Sequence with and . A Fibonacci pseudoprime is a Composite Number such that

There exist no Even Fibonacci pseudoprimes with parameters and (Di Porto 1993) or (André-Jeannin 1996). André-Jeannin (1996) also proved that if and , then there exists at least one Even Fibonacci pseudoprime with parameters and .

See also Pseudoprime

References

André-Jeannin, R. On the Existence of Even Fibonacci Pseudoprimes with Parameters and .'' Fib. Quart. 34, 75-78, 1996.

Di Porto, A. Nonexistence of Even Fibonacci Pseudoprimes of the First Kind.'' Fib. Quart. 31, 173-177, 1993.

Ribenboim, P. Fibonacci Pseudoprimes.'' §2.X.A in The New Book of Prime Number Records, 3rd ed. New York: Springer-Verlag, pp. 127-129, 1996.

© 1996-9 Eric W. Weisstein
1999-05-26