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A155012 Fibonacci prime numbers f, 3*f+2 are also primes. 0
3, 5, 13, 89, 233, 1597, 514229, 99194853094755497, 19134702400093278081449423917 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

3*3+2=11, 3*5+2=17, 3*13+2=41, ...

LINKS

Table of n, a(n) for n=1..9.

MATHEMATICA

a={}; Do[f=Fibonacci[n]; If[PrimeQ[f], If[PrimeQ[3*f+2], AppendTo[a, f]]], {n, 4*6!}]; a

PROG

(Python)

from gmpy2 import is_prime

A155012_list = []

a, b, a2, b2 = 0, 1, 2, 5

for _ in range(10**3):

    if is_prime(b) and is_prime(b2):

        A155012_list.append(b)

    a, b, a2, b2 = b, a+b, b2, a2+b2-2 # Chai Wah Wu, Nov 04 2015

CROSSREFS

Cf. A005478, A000045, A005384, A155011

Sequence in context: A239381 A180313 A053630 * A121533 A187733 A087170

Adjacent sequences:  A155009 A155010 A155011 * A155013 A155014 A155015

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Jan 18 2009

STATUS

approved

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Last modified April 3 00:35 EDT 2020. Contains 333195 sequences. (Running on oeis4.)