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A162293
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Numbers k such that k^2*(k-1)-1 is prime.
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6
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2, 3, 4, 6, 7, 9, 12, 13, 18, 21, 22, 30, 33, 46, 48, 57, 58, 61, 66, 67, 75, 79, 85, 87, 90, 94, 96, 99, 100, 106, 111, 114, 117, 118, 120, 121, 127, 129, 133, 138, 144, 153, 160, 162, 171, 174, 175, 186, 187, 195, 199, 202, 204, 220, 222, 223, 231, 243, 246, 252
(list;
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refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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LINKS
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Ivan Neretin, Table of n, a(n) for n = 1..10000
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FORMULA
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a(n)^2 * ( a(n)-1 )-1 = A162291(n).
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EXAMPLE
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a(1)=2 since 2^3-2^2-1=3 is prime.
a(2)=3 since 3^3-3^2-1=17 is prime.
a(3)=4 since 4^3-4^2-1=47 is prime.
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MATHEMATICA
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lst={}; Do[s=n^3-n^2; If[PrimeQ[s-1], AppendTo[lst, n]], {n, 6!}]; lst
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CROSSREFS
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Cf. A087908, A162291 (corresponding primes), A111501.
Sequence in context: A304206 A243498 A156287 * A233459 A145803 A018629
Adjacent sequences: A162290 A162291 A162292 * A162294 A162295 A162296
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KEYWORD
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nonn
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AUTHOR
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Vladimir Joseph Stephan Orlovsky, Jun 30 2009
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EXTENSIONS
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Comments moved to the examples by R. J. Mathar, Sep 11 2009
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STATUS
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approved
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