|
%I #42 Jul 19 2018 05:38:29
%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 26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,43,44,48,51,54,55,56,58,
%U 61,62,63,64,65,66,67,69,71,76,78,79,84,87,88,89,90,92
%N Numbers k such that 42*k^3 + 270*k^2 - 26436*k + 250703 is prime.
%C 40 is the first value not in the sequence.
%H Robert Price, <a href="/A271143/b271143.txt">Table of n, a(n) for n = 1..3092</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 42*4^3 + 270*4^2 - 26436*4 + 250703 = 151967, which is prime.
%t Select[Range[0, 100], PrimeQ[42#^3 + 270#^2 - 26436# + 250703] &]
%o (PARI) is(n)=isprime(42*n^3+270*n^2-26436*n+250703) \\ _Charles R Greathouse IV_, Feb 17 2017
%Y Cf. A050265-A050268, A005846, A007641, A007635, A048988, A256585, A271980, A272074, A272075, A272160, A271144.
%K nonn
%O 1,3
%A _Robert Price_, Apr 23 2016
|
