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A096650 Indices of prime Pell numbers. 2
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; 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 (noe(AT)sspectra.com), Sep 13 2004

LINKS

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 A129201

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 (noe(AT)sspectra.com), Aug 17 2004

More terms from T. D. Noe (noe(AT)sspectra.com), Sep 13 2004

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Last modified February 17 11:42 EST 2012. Contains 206011 sequences.