Fibonacci Pseudoprime
المؤلف:
Di Porto, A.
المصدر:
"Nonexistence of Even Fibonacci Pseudoprimes of the First Kind." Fib. Quart. 31
الجزء والصفحة:
...
24-1-2021
1400
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 
.
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.
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