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A119264
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Primes of the form n^6 + n^2 + 1.
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2
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3, 739, 2986129, 11390851, 191103553, 387421219, 1291469059, 2176783633, 8303767651, 24794914213, 34296450499, 646990192099, 782757798913, 2194972636933, 3462826006819, 14412774469393, 27752076894853
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| The n such that n^6 + n^2 + 1 is prime are: 1, 3, 12, 15, 24, 27, 33, 36, 45, 54, 57, 93, 96, 114, 123, 156, 174, 177, 210. (after 1, must be 0 mod 3).
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FORMULA
| a(n) = A000040 INTERSECTION {n^6 + n^2 + 1}.
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EXAMPLE
| a(1) = 1^6 + 1^2 + 1 = 3 is prime.
a(2) = 3^6 + 3^2 + 1 = 739 is prime.
a(3) = 12^6 + 12^2 + 1 = 2986129 is prime.
a(4) = 15^6 + 15^2 + 1 = 11390851 is prime.
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PROG
| (MAGMA)[a: n in [0..250]|IsPrime(a) where a is n^6+n^2+1][From Vincenzo Librandi, Dec 22 2010]
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CROSSREFS
| Cf. A000040, A120479, A120480.
Sequence in context: A013826 A133014 A100407 * A172895 A083250 A096086
Adjacent sequences: A119261 A119262 A119263 * A119265 A119266 A119267
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KEYWORD
| easy,nonn,less
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AUTHOR
| Jonathan Vos Post (jvospost3(AT)gmail.com), Jul 23 2006
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EXTENSIONS
| Corrected (1) with (3) by Vincenzo Librandi, Dec 22 2010
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