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A119662
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Primes of the form n! + n^2 + 1.
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0
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OFFSET
| 1,1
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COMMENTS
| Primes of the form A004664(n) + 1. For n! + n^2 + 1 to be prime, n>1, it is necessary but not sufficient for n to be even. 74! + 74^2 + 1 is composite, with 108 digits; the next possible prime of the form n! + n^2 + 1 has n>75.
No more terms for n<1150. [From V. Librandi, Dec 22 2010]
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FORMULA
| A000040 INTERSECTION {n! + n^2 + 1}.
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MATHEMATICA
| lst={}; Do[s=n!+n^2; If[PrimeQ[p=s+1], AppendTo[lst, p]], {n, 0, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 27 2008]
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PROG
| (MAGMA) [ a: n in [0..1150] | IsPrime(a) where a is Factorial(n)+n^2+1 ]; [From Vincenzo Librandi, Dec 22 2010]
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CROSSREFS
| Cf. A000040, A004664, A119448.
Sequence in context: A047024 A037843 A102604 * A163157 A000945 A126263
Adjacent sequences: A119659 A119660 A119661 * A119663 A119664 A119665
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KEYWORD
| nonn,less
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AUTHOR
| Jonathan Vos Post (jvospost3(AT)gmail.com), Jul 28 2006
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