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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

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Last modified October 23 03:24 EDT 2014. Contains 248411 sequences.