Search: id:A001605
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%I A001605 M2309 N0911
%S A001605 3,4,5,7,11,13,17,23,29,43,47,83,131,137,359,431,433,449,509,569,571,
%T A001605 2971,4723,5387,9311,9677,14431,25561,30757,35999,37511,50833,81839,
%U A001605 104911,130021,148091,201107,397379,433781,590041,593689,604711,931517,
               1049897,1285607,1636007
%N A001605 Indices of prime Fibonacci numbers.
%C A001605 Some of the larger entries may only correspond to probable primes.
%C A001605 Since F[n] divides F[mn] (cf. A001578, A086597), all terms of this sequence 
               are primes except for a(2)=4 (=2*2 but F[2]=1). - M. F. Hasler (Maximilian.Hasler(AT)gmail.com), 
               Dec 12 2007
%D A001605 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A001605 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A001605 J. Brillhart, P. L. Montgomery and R. D. Silverman, Tables of Fibonacci 
               and Lucas factorizations, Math. Comp. 50 (1988), 251-260.
%D A001605 D. Broadhurst, Posting to Number Theory List (NMBRTHRY(AT)LISTSERV.NODAK.EDU), 
               22 April 2001
%D A001605 H. Dubner and W. Keller, New Fibonacci and Lucas Primes, Math. Comp. 
               68 (1999) 417-427
%D A001605 Tony D. Noe and Jonathan Vos Post, Primes in Fibonacci n-step and Lucas 
               n-step Sequences, Journal of Integer Sequences, Vol. 8 (2005), Article 
               05.4.4.
%D A001605 C. Pickover, Mazes for the Mind, St. Martin's Press, NY, 1992, p. 350.
%D A001605 P. Ribenboim, The Little Book of Big Primes, Springer-Verlag, NY, 1991, 
               p. 178.
%D A001605 Clifford A. Pickover, A Passion for Mathematics, Wiley, 2005; see p. 
               54.
%H A001605 David Broadhurst, <a href="http://groups.yahoo.com/group/primeform/files/
               LucasFib/">Fibonacci Numbers</a>
%H A001605 David Broadhurst, <a href="http://listserv.nodak.edu/scripts/wa.exe?A2=ind0104&L=nmbrthry&P=R1807&D=0">
               Proof that F(81839) is prime</a>
%H A001605 C. K. Caldwell, The Prime Glossary, <a href="http://primes.utm.edu/glossary/
               page.php?sort=FibonacciPrime">Fibonacci prime</a>
%H A001605 Dudley Fox, <a href="http://www.gristle.to/markup/primes/ppfibs.html">
               Search for Possible Fibonacci Primes</a>
%H A001605 R. Knott, <a href="http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/
               fibmaths.html">Mathematics of the Fibonacci Series</a>
%H A001605 Henri & Renaud Lifchitz, <a href="http://www.primenumbers.net/prptop/
               searchform.php?form=F%28n%29">PRP Records.</a>
%H A001605 R. Ondrejka, <a href="http://www.utm.edu/research/primes/lists/top_ten/
               ">The Top Ten: a Catalogue of Primal Configurations</a>
%H A001605 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               FibonacciPrime.html">Fibonacci Prime.</a>
%H A001605 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               IntegerSequencePrimes.html">Integer Sequence Primes.</a>
%F A001605 Prime(i) = a(n) for some n <=> A080345(i) <= 1. - M. F. Hasler (Maximilian.Hasler(AT)gmail.com), 
               Dec 12 2007
%t A001605 lst={};Do[f=Fibonacci[n];If[PrimeQ[f], AppendTo[lst, n]], {n, 1, 10^4}];
               lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 14 2008]
%Y A001605 Cf. A005478.
%Y A001605 Cf. A000045, A001578, A086597, A080345.
%Y A001605 Sequence in context: A140826 A081735 A107036 this_sequence A101762 A139455 
               A095880
%Y A001605 Adjacent sequences: A001602 A001603 A001604 this_sequence A001606 A001607 
               A001608
%K A001605 nonn,hard,nice
%O A001605 1,1
%A A001605 N. J. A. Sloane (njas(AT)research.att.com).
%E A001605 Additional comments from Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 18 
               2000. More terms from David Broadhurst, Nov 08 2001. Two more terms 
               (148091 and 201107) from T. D. Noe (noe(AT)sspectra.com), Feb 12 
               2003 and Mar 04 2003.
%E A001605 397379 from T. D. Noe (noe(AT)sspectra.com), Aug 18 2003
%E A001605 433781, 590041, 593689 from Henri Lifchitz (HLifchitz(AT)compuserve.com) 
               submitted by Ray Chandler (rayjchandler(AT)sbcglobal.net), Feb 11 
               2005
%E A001605 604711 from Henri Lifchitz (HLifchitz(AT)compuserve.com) communicated 
               by Eric Weisstein (eric(AT)weisstein.com), Nov 29 2005
%E A001605 931517, 1049897, 1285607 found by Henri Lifchitz circa Nov 01 2008 and 
               submitted by Alexander Adamchuk (alex(AT)kolmogorov.com), Nov 28 
               2008
%E A001605 1636007 from Henri Lifchitz 03/2009, communicated by Eric W. Weisstein 
               (eric(AT)weisstein.com), Apr 24 2009

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