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A005471
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Primes of form n^2 + 3n + 9.
(Formerly M4345)
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13
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7, 13, 19, 37, 79, 97, 139, 163, 313, 349, 607, 709, 877, 937, 1063, 1129, 1489, 1567, 1987, 2557, 2659, 3313, 3547, 4297, 5119, 5557, 7489, 8017, 8563, 9127, 9319, 9907, 10513, 11779, 12889, 15013, 15259, 16519, 17299, 18097, 18367, 18913, 20029
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OFFSET
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1,1
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COMMENTS
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All terms == 1 mod 6. [Zak Seidov, Mar 20 2010]
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REFERENCES
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Hyun Kwang Kim and Jung Soo Kim, Evaluation of zeta function of the simplest cubic field at negative odd integers, Math. Comp. 71 (2002), no. 239, 1243-1262.
D. Shanks, The simplest cubic fields, Math. Comp., 28 (1974), 1137-1152.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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T. D. Noe, Table of n, a(n) for n = 1..1000
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EXAMPLE
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For n = -11, -10, ..., 22 the primes of the form n^2+3n+9 are 97, 79, 37, 19, 13, 7, 7, 13, 19, 37, 79, 97, 139, 163, 313, 349.
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MATHEMATICA
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Select[Table[n^2 + 3*n + 9, {n, -1, 200}], PrimeQ] (* T. D. Noe, Mar 21 2013 *)
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PROG
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(MAGMA) [a: n in [-1..150] | IsPrime(a) where a is n^2+3*n+9]; // Vincenzo Librandi, Mar 22 2013
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CROSSREFS
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Sequence in context: A176229 A110074 A058383 * A040096 A181938 A073648
Adjacent sequences: A005468 A005469 A005470 * A005472 A005473 A005474
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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More terms from James A. Sellers, Feb 20 2000
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STATUS
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approved
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