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Nonnegative numbers n such that abs(3n^3 - 183n^2 + 3318n - 18757) is prime.
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%I #23 Dec 13 2019 12:52:03

%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 26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,

%U 51,53,56,57,59,60,62,63,65,66,69,70,74,79,80,81,82,85

%N Nonnegative numbers n such that abs(3n^3 - 183n^2 + 3318n - 18757) is prime.

%C 47 is the smallest number not in this sequence.

%H Robert Price, <a href="/A272302/b272302.txt">Table of n, a(n) for n = 1..2839</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 abs(3*4^3 - 183*4^2 + 3318*4 - 18757) = abs(192-2928+13272-18757) = 8221 is prime.

%t Select[Range[0, 100], PrimeQ[3#^3 - 183#^2 + 3318# - 18757 ] &]

%o (PARI) is(n)=isprime(abs(3*n^2-183*n^2+3318*n-18757)) \\ _Charles R Greathouse IV_, Feb 17 2017

%Y Cf. A050268, A050267, A005846, A007641, A007635, A048988, A050265, A050266, A271980, A272030, A272074, A272075, A272160, A271144, A272285, A272401.

%K nonn,less

%O 1,3

%A _Robert Price_, Apr 28 2016