This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A272443 #17 Feb 16 2025 08:33:34 %S A272443 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 A272443 26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,50, %U A272443 51,53,57,58,59,64,67,70,75,79,80,81,89,91,92,93,96,99 %N A272443 Nonnegative numbers n such that abs(n^5 - 99n^4 + 3588n^3 - 56822n^2 + 348272n - 286397) is prime. %C A272443 47 is the smallest number not in this sequence. %H A272443 Robert Price, <a href="/A272443/b272443.txt">Table of n, a(n) for n = 1..2170</a> %H A272443 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Prime-GeneratingPolynomial.html">Prime-Generating Polynomials</a> %e A272443 4 is in this sequence since abs(4^5 - 99*4^4 + 3588*4^3 - 56822*4^2 + 348272*4 - 286397) = abs(1024-25344+229632-909152+1393088-286397) = 402851 is prime. %t A272443 Select[Range[0, 100], PrimeQ[#^5 - 99#^4 + 3588#^3 - 56822#^2 + 348272# - 286397] &] %o A272443 (PARI) lista(nn) = for(n=0, nn, if(isprime(abs(n^5-99*n^4+3588*n^3-56822*n^2+348272*n-286397)), print1(n, ", "))); \\ _Altug Alkan_, Apr 29 2016 %Y A272443 Cf. A050268, A050267, A005846, A007641, A007635, A048988, A050265, A050266. %Y A272443 Cf. A271980, A272030, A272074, A272075, A272160, A271144, A272285, A272401, A272438, A272444. %K A272443 nonn %O A272443 1,3 %A A272443 _Robert Price_, Apr 29 2016