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Search: id:A056909
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| A056909 |
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Primes of the form k^2+6. |
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+0
5
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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
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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a(n) mod 120 = 7 or 31 for all n
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FORMULA
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a(n) =36*A056910(n)^2+12*A056910(n)+7
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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 Orlovsky (4vladimir(AT)gmail.com), Apr 29 2008
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CROSSREFS
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Cf. A002496, A056899, A049423, A005473, A056905.
Sequence in context: A002588 A036280 A153005 this_sequence A002147 A083420 A036282
Adjacent sequences: A056906 A056907 A056908 this_sequence A056910 A056911 A056912
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KEYWORD
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nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Jul 07 2000
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