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A056909
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Primes of the form k^2+6.
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6
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7, 31, 127, 367, 631, 967, 1231, 3727, 4231, 6247, 7927, 8287, 11887, 17167, 21031, 22807, 30631, 34231, 39607, 48847, 72367, 108247, 109567, 126031, 160807, 185767, 198031, 231367, 235231, 261127, 265231, 279847, 290527, 323767, 354031
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OFFSET
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1,1
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COMMENTS
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a(n) mod 120 = 7 or 31 for all n.
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LINKS
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FORMULA
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EXAMPLE
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a(2)=127 since 11^2+6=127 which is prime.
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MATHEMATICA
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Intersection[Table[n^2+6, {n, 0, 10^2}], Prime[Range[9*10^3]]] ...or... For[i=6, i<=6, a={}; Do[If[PrimeQ[n^2+i], AppendTo[a, n^2+i]], {n, 0, 100}]; Print["n^2+", i, ", ", a]; i++ ] - Vladimir Joseph Stephan Orlovsky, Apr 29 2008
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PROG
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(Magma) [a: n in [0..700] | IsPrime(a) where a is n^2+6]; // Vincenzo Librandi, Nov 30 2011
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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