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Nonnegative numbers n such that abs(82n^3 - 1228n^2 + 6130n - 5861) is prime.
5

%I #14 Apr 28 2016 11:25:04

%S 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,

%T 26,27,28,29,30,31,34,37,39,41,43,47,49,50,53,54,55,59,61,63,64,67,72,

%U 73,75,76,81,84,86,87,88,89,90,92,95,97,98,102,103,104

%N Nonnegative numbers n such that abs(82n^3 - 1228n^2 + 6130n - 5861) is prime.

%C 32 is the smallest number not in this sequence.

%H Robert Price, <a href="/A272323/b272323.txt">Table of n, a(n) for n = 1..2659</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Prime-GeneratingPolynomial.html">Prime-Generating Polynomials</a>

%e 4 is in this sequence since 82*4^3 - 1228*4^2 + 6130*4 - 5861 = 5248-19648+24520-5861 = 4259 is prime.

%t Select[Range[0, 100], PrimeQ[82#^3 - 1228#^2 + 6130# - 5861] &]

%o (PARI) lista(nn) = for(n=0, nn, if(isprime(abs(82*n^3-1228*n^2+6130*n-5861)), print1(n, ", "))); \\ _Altug Alkan_, Apr 25 2016

%Y Cf. A050268, A050267, A005846, A007641, A007635, A048988, A050265, A050266.

%Y Cf. A271980, A272030, A272074, A272075, A272160, A271144, A272285, A272324, A076808.

%K nonn

%O 1,3

%A _Robert Price_, Apr 25 2016