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Search: id:A096650
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| A096650 |
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Indices of prime Pell numbers. |
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+0
3
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| 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; listen)
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OFFSET
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1,1
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COMMENT
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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
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LINKS
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Eric Weisstein's World of Mathematics, Pell Number
Eric Weisstein's World of Mathematics, Integer Sequence Primes
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EXAMPLE
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P(11)=5741, which is prime.
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MATHEMATICA
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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)
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CROSSREFS
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Cf. A000129 (Pell numbers), A086383 (prime Pell numbers).
Sequence in context: A036958 A032024 A131741 this_sequence A111107 A129201 A137692
Adjacent sequences: A096647 A096648 A096649 this_sequence A096651 A096652 A096653
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KEYWORD
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nonn
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AUTHOR
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Julien Peter Benney (jpbenney(AT)ftml.net), Aug 15 2004
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EXTENSIONS
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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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