

A272284


Numbers n such that 43*n^2  537*n + 2971 is prime.


11



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, 36, 37, 38, 39, 40, 42, 43, 44, 45, 46, 47, 49, 50, 51, 55, 56, 57, 60, 64, 67, 68, 69, 70, 71, 72, 73, 74, 76, 77, 79, 80, 81
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OFFSET

1,3


COMMENTS

35 is the smallest number not in this sequence.


LINKS

G. C. Greubel, Table of n, a(n) for n = 1..10000
Eric Weisstein's World of Mathematics, PrimeGenerating Polynomials


EXAMPLE

4 is in this sequence since 43*4^2  537*4 + 2971 = 6882148+2971 = 1511 is prime.


MATHEMATICA

Select[Range[0, 100], PrimeQ[43#^2  537# + 2971] &]


PROG

(PARI) lista(nn) = for(n=0, nn, if(ispseudoprime(43*n^2  537*n + 2971), print1(n, ", "))); \\ Altug Alkan, Apr 24 2016


CROSSREFS

Cf. A050268, A050267, A005846, A007641, A007635, A048988, A050265, A050266.
Cf. A271980, A272030, A272074, A272075, A272160, A271144, A272285.
Sequence in context: A044922 A273883 A132145 * A322554 A330232 A273882
Adjacent sequences: A272281 A272282 A272283 * A272285 A272286 A272287


KEYWORD

nonn


AUTHOR

Robert Price, Apr 24 2016


STATUS

approved



