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 A096650 Indices of prime Pell numbers. 14
 2, 3, 5, 11, 13, 29, 41, 53, 59, 89, 97, 101, 167, 181, 191, 523, 929, 1217, 1301, 1361, 2087, 2273, 2393, 8093, 13339, 14033, 23747, 28183, 34429, 36749, 90197 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS For a Pell number to be prime, the index must be prime. The indices greater than 523 yield probable primes. No others less than 100000. - T. D. Noe, Sep 13 2004 n divides m if and only if A000129(n) divides A000129(m). This is the reason of the fact that this sequence is a subsequence of A000040. For complement of this sequence see A270387. - Altug Alkan, Apr 29 2016 LINKS J. L. Schiffman, Exploring the Fibonacci sequence of order two with CAS technology, Paper C027, Electronic Proceedings of the Twenty-fourth Annual International Conference on Technology in Collegiate Mathematics, Orlando, Florida, March 22-25, 2012. See p. 262. - N. J. A. Sloane, Mar 27 2014 Eric Weisstein's World of Mathematics, Pell Number Eric Weisstein's World of Mathematics, Integer Sequence Primes EXAMPLE P(11)=5741, which is prime. MAPLE Pell:= gfun:-rectoproc( {a(0) = 0, a(1) = 1, a(n) = 2*a(n-1) + a(n-2)}, a(n), remember): select(t -> isprime(t) and isprime(Pell(t)), [2, seq(2*i+1, i=1..2000)]); # Robert Israel, Aug 28 2015 MATHEMATICA lst={}; a=0; b=1; Do[c=a+2b; a=b; b=c; If[PrimeQ[c], AppendTo[lst, n]], {n, 2, 10000}]; lst (* T. D. Noe, Aug 17 2004 *) Flatten@ Position[#, p_ /; PrimeQ@ p] - 1 &@ CoefficientList[Series[x/(1 - 2 x - x^2), {x, 0, 5000}], x] (* Michael De Vlieger, Apr 29 2016, after Stefan Steinerberger at A000129 *) CROSSREFS Cf. A000129 (Pell numbers), A086383 (prime Pell numbers), A270387. Sequence in context: A032024 A131741 A277098 * A111107 A186641 A215354 Adjacent sequences:  A096647 A096648 A096649 * A096651 A096652 A096653 KEYWORD nonn AUTHOR Julien Peter Benney (jpbenney(AT)ftml.net), Aug 15 2004 EXTENSIONS More terms from T. D. Noe, Aug 17 2004 Further terms from T. D. Noe, Sep 13 2004 STATUS approved

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Last modified February 28 06:55 EST 2020. Contains 332321 sequences. (Running on oeis4.)