

A271143


Numbers k such that 42*k^3 + 270*k^2  26436*k + 250703 is prime.


12



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, 41, 43, 44, 48, 51, 54, 55, 56, 58, 61, 62, 63, 64, 65, 66, 67, 69, 71, 76, 78, 79, 84, 87, 88, 89, 90, 92
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OFFSET

1,3


COMMENTS

40 is the first value not in the sequence.


LINKS

Robert Price, Table of n, a(n) for n = 1..3092
Eric Weisstein's World of Mathematics, PrimeGenerating Polynomials


EXAMPLE

4 is in this sequence since 42*4^3 + 270*4^2  26436*4 + 250703 = 151967, which is prime.


MATHEMATICA

Select[Range[0, 100], PrimeQ[42#^3 + 270#^2  26436# + 250703] &]


PROG

(PARI) is(n)=isprime(42*n^3+270*n^226436*n+250703) \\ Charles R Greathouse IV, Feb 17 2017


CROSSREFS

Cf. A050265A050268, A005846, A007641, A007635, A048988, A256585, A271980, A272074, A272075, A272160, A271144.
Sequence in context: A267069 A083243 A002837 * A056561 A321993 A236674
Adjacent sequences: A271140 A271141 A271142 * A271144 A271145 A271146


KEYWORD

nonn


AUTHOR

Robert Price, Apr 23 2016


STATUS

approved



