

A121533


FibonacciLucas prime twins: Prime Fibonacci numbers Fibonacci(k) such that Lucas numbers Lucas(k) = Fibonacci(k1) + Fibonacci(k+1) are also prime.


2




OFFSET

1,1


COMMENTS

Indices for FibonacciLucas prime twins are A080327(n) = {4, 5, 7, 11, 13, 17, 47, ...}. Corresponding LucasFibonacci prime twins are A121534(n) = {7, 11, 29, 199, 521, 3571, 6643838879, ...}. Probable primes Fibonacci(148091) and Lucas(148091) are the next probable FibonacciLucas and LucasFibonacci prime twins. They have 30949 and 30950 digits.


LINKS

Table of n, a(n) for n=1..7.


EXAMPLE

a(1) = 3 because Fibonacci(4) = 3 is prime and Lucas(4) = 5 is also prime.


MATHEMATICA

Do[f=Fibonacci[n]; l=Fibonacci[n1]+Fibonacci[n+1]; If[PrimeQ[f]&&PrimeQ[l], Print[{f, l}]], {n, 10000}]


CROSSREFS

Cf. A121534, A000045, A005478, A001605, A001606, A000032, A000204, A005479, A080327.
Sequence in context: A180313 A053630 A155012 * A187733 A087170 A123370
Adjacent sequences: A121530 A121531 A121532 * A121534 A121535 A121536


KEYWORD

nonn


AUTHOR

Alexander Adamchuk, Aug 05 2006


STATUS

approved



