TOPICS
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 
.
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.Weisstein, Eric W. "Fibonacci Pseudoprime." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/FibonacciPseudoprime.html