

A075737


Prime Fibonacci numbers with prime indices.


21



2, 5, 13, 89, 233, 1597, 28657, 514229, 433494437, 2971215073, 99194853094755497, 1066340417491710595814572169, 19134702400093278081449423917, 475420437734698220747368027166749382927701417016557193662268716376935476241
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OFFSET

1,1


COMMENTS

Same as A005478 except that F(4) = 3 has been omitted.
Sequence of primes in A001519. [James R. Buddenhagen, May 20 2010]


LINKS

T. D. Noe, Table of n, a(n) for n = 1..20


EXAMPLE

5 is a prime and fibonacci(5)=5 is also a prime, 7 is a prime and fibonacci(7)=13 is also a prime, but 2 is a prime and fibonacci(2)=1 is not a prime.


MAPLE

with(combinat, fibonacci): fib_supM_pra := proc(n); if (isprime(n)='true') then if (isprime(fibonacci(n))='true') then RETURN(fibonacci(n)); fi; fi; end: seq(fib_supM_pra(i), i=1..500);


MATHEMATICA

Fibonacci[ Prime[ Select[ Range[50], PrimeQ[ Fibonacci[ Prime[ # ]]] & ]]]


PROG

(PARI) forprime(p=2, 1e3, if(isprime(t=fibonacci(p)), print1(t", "))) \\ Charles R Greathouse IV, Feb 03 2014


CROSSREFS

Subsequence of A030426.
Cf. A000045, A005478, A083668, A001519.
Sequence in context: A075736 A030426 A075742 * A100843 A082101 A158712
Adjacent sequences: A075734 A075735 A075736 * A075738 A075739 A075740


KEYWORD

easy,nonn


AUTHOR

Jani Melik, Oct 07 2002


STATUS

approved



