

A272302


Nonnegative numbers n such that abs(3n^3  183n^2 + 3318n  18757) is prime.


7



0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 48, 49, 51, 53, 56, 57, 59, 60, 62, 63, 65, 66, 69, 70, 74, 79, 80, 81, 82, 85
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OFFSET

1,3


COMMENTS

47 is the smallest number not in this sequence.


LINKS

Robert Price, Table of n, a(n) for n = 1..2839
Eric Weisstein's World of Mathematics, PrimeGenerating Polynomials


EXAMPLE

4 is in this sequence since abs(3*4^3  183*4^2 + 3318*4  18757) = abs(1922928+1327218757) = 8221 is prime.


MATHEMATICA

Select[Range[0, 100], PrimeQ[3#^3  183#^2 + 3318#  18757 ] &]


PROG

(PARI) is(n)=isprime(abs(3*n^2183*n^2+3318*n18757)) \\ Charles R Greathouse IV, Feb 17 2017


CROSSREFS

Cf. A050268, A050267, A005846, A007641, A007635, A048988, A050265, A050266, A271980, A272030, A272074, A272075, A272160, A271144, A272285, A272401.
Sequence in context: A296873 A044923 A180925 * A272443 A272437 A247151
Adjacent sequences: A272299 A272300 A272301 * A272303 A272304 A272305


KEYWORD

nonn,less


AUTHOR

Robert Price, Apr 28 2016


STATUS

approved



