

A096650


Indices of prime Pell numbers.


5



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


REFERENCES

J. L. Schiffman, Exploring the Fibonacci sequence of order two with CAS technology, http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.392.6982&rep=rep1&type=pdf; 2014. See p. 262.  N. J. A. Sloane, Mar 27 2014


LINKS

Table of n, a(n) for n=1..31.
Eric Weisstein's World of Mathematics, Pell Number
Eric Weisstein's World of Mathematics, Integer Sequence Primes


EXAMPLE

P(11)=5741, which is prime.


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)


CROSSREFS

Cf. A000129 (Pell numbers), A086383 (prime Pell numbers).
Sequence in context: A178317 A032024 A131741 * 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



