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Search: id:A119863
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| A119863 |
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Numbers n such that n^3 + n^2 + 1 is prime. |
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+0
2
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| 1, 2, 3, 5, 8, 9, 11, 12, 23, 24, 26, 30, 35, 42, 44, 45, 47, 53, 56, 57, 62, 66, 68, 69, 71, 74, 86, 87, 89, 92, 101, 111, 120, 122, 123, 125, 140, 143, 147, 152, 170, 177, 179, 180, 191, 192, 195, 198, 203, 209, 219, 224, 230, 234, 239, 243, 245, 246, 254, 255, 263
(list; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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If n=92 then n^3 + n^2 + 1 = 787153 (prime).
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MAPLE
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a:=proc(n) if isprime(n^3+n^2+1)=true then n else fi end: seq(a(n), n=0..300); (Deutsch)
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MATHEMATICA
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f[a_]:=a^0+a^2+a^3; lst={}; Do[If[PrimeQ[f[n]], AppendTo[lst, n]], {n, 6!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jul 14 2009]
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CROSSREFS
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Sequence in context: A047372 A096974 A027756 this_sequence A047254 A051214 A013634
Adjacent sequences: A119860 A119861 A119862 this_sequence A119864 A119865 A119866
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KEYWORD
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nonn
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AUTHOR
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Parthasarathy Nambi (PachaNambi(AT)yahoo.com), Jul 31 2006
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu) and R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 04 2006
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