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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 (list; graph; refs; listen; history; text; internal format)
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, Prime-Generating 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^2-26436*n+250703) \\ Charles R Greathouse IV, Feb 17 2017

CROSSREFS

Cf. A050265-A050268, 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

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Last modified April 14 20:23 EDT 2021. Contains 342962 sequences. (Running on oeis4.)