A271143 - OEIS

A271143

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

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, 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] &]