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 .
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.