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A119448
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Primes of the form n^n + n^2 + 1.
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2
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2, 3, 37, 285311670733, 1102507499354148695951786433413508348166942596435548101, 3877924263464448622666648186154330754898344901344205917642325627886496385065073
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| The n such that n^n + n^2 + 1 is prime are: 1, 3, 11, 35, 47, ...
0^0+0^2+1=2.[From Vincenzo Librandi, Dec 22 2010]
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FORMULA
| a(n) = A000040 INTERSECTION {n^n + n^2 + 1}.
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EXAMPLE
| a(3) = 11^11 + 11^2 + 1 = 285311670733 is prime.
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PROG
| (MAGMA)[a: n in [0..250]|IsPrime(a) where a is n^n+n^2+1][From Vincenzo Librandi, Dec 22 2010]
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CROSSREFS
| Cf. A000040, A000312, A120479, A120480, A119264.
Sequence in context: A189027 A061576 A144466 * A041329 A060813 A039820
Adjacent sequences: A119445 A119446 A119447 * A119449 A119450 A119451
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KEYWORD
| nonn
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AUTHOR
| Jonathan Vos Post (jvospost3(AT)gmail.com), Jul 26 2006
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EXTENSIONS
| 2 added by Vincenzo Librandi, Dec 22 2010
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