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A050266
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Primes of the form n^3 + n^2 + 17, for nonnegative values of n.
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32
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17, 19, 29, 53, 97, 167, 269, 409, 593, 827, 1117, 1889, 2383, 2957, 3617, 6173, 7237, 9719, 11149, 12713, 16267, 18269, 25247, 27917, 33809, 47969, 56333, 65617, 70619, 75869, 81373, 99469, 112913, 120067, 143329, 151703, 160397, 188459
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OFFSET
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1,1
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COMMENTS
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n=-2 produces the prime 13. - Robert Price, Apr 25 2016
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 1..10000
Eric Weisstein's World of Mathematics, Prime-Generating Polynomial.
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MAPLE
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f:= seq(n^3+n^2+17, n = 0..100); select(isprime, f); # G. C. Greubel, Feb 06 2020
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MATHEMATICA
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Select[Table[n^3+n^2+17, {n, 0, 100}], PrimeQ] (* Vincenzo Librandi, Dec 08 2011 *)
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PROG
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(MAGMA) [a: n in [0..100] | IsPrime(a) where a is n^3+n^2+17]; // Vincenzo Librandi, Dec 08 2011
(PARI) for(n=0, 100, my(m=n^3+n^2+17); if(isprime(m), print1(m ", "))) \\ G. C. Greubel, Feb 06 2020
(Sage) [n^3+n^2+17 for n in (0..100) if is_prime(n^3+n^2+17) ] # G. C. Greubel, Feb 06 2020
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CROSSREFS
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Cf. A331950.
Sequence in context: A065742 A155089 A101396 * A045803 A098933 A145485
Adjacent sequences: A050263 A050264 A050265 * A050267 A050268 A050269
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KEYWORD
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nonn,easy
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AUTHOR
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Eric W. Weisstein
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EXTENSIONS
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17 added by Vincenzo Librandi, Dec 08 2011
Altered definition to require that n be nonnegative. - Robert Price, Apr 25 2016
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STATUS
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approved
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