A272325 - OEIS

%I #14 Feb 16 2025 08:33:34

%S 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,25,26,27,30,

%T 34,37,41,43,46,50,52,53,56,59,60,61,64,66,67,68,71,76,79,81,84,87,88,

%U 89,91,92,95,96,98,99,103,106,109,118,124,126,127,128,132

%N Nonnegative numbers n such that n^4 + 853n^3 + 2636n^2 + 3536n + 1753 is prime.

%C 21 is the smallest number not in this sequence.

%H Robert Price, <a href="/A272325/b272325.txt">Table of n, a(n) for n = 1..2457</a>

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

%e 4 is in this sequence since 4^4 + 853*4^3 + 2636*4^2 + 3536*4 + 1753 = 256+54592+42176+14144+1753 = 112921 is prime.

%t Select[Range[0, 100], PrimeQ[#^4 + 853#^3 + 2636#^2 + 3536# + 1753] &]

%o (PARI) lista(nn) = for(n=0, nn, if(isprime(n^4+853*n^3+2636*n^2+3536*n+1753), 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, A272326, A076809.

%K nonn

%O 1,3

%A _Robert Price_, Apr 25 2016