cp's OEIS Frontend

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.

A272323 Nonnegative numbers n such that abs(82n^3 - 1228n^2 + 6130n - 5861) is prime.

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%I A272323 #15 Feb 16 2025 08:33:34
%S A272323 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 A272323 26,27,28,29,30,31,34,37,39,41,43,47,49,50,53,54,55,59,61,63,64,67,72,
%U A272323 73,75,76,81,84,86,87,88,89,90,92,95,97,98,102,103,104
%N A272323 Nonnegative numbers n such that abs(82n^3 - 1228n^2 + 6130n - 5861) is prime.
%C A272323 32 is the smallest number not in this sequence.
%H A272323 Robert Price, <a href="/A272323/b272323.txt">Table of n, a(n) for n = 1..2659</a>
%H A272323 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Prime-GeneratingPolynomial.html">Prime-Generating Polynomials</a>
%e A272323 4 is in this sequence since 82*4^3 - 1228*4^2 + 6130*4 - 5861 = 5248-19648+24520-5861 = 4259 is prime.
%t A272323 Select[Range[0, 100], PrimeQ[82#^3 - 1228#^2 + 6130# - 5861] &]
%o A272323 (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 A272323 Cf. A050268, A050267, A005846, A007641, A007635, A048988, A050265, A050266.
%Y A272323 Cf. A271980, A272030, A272074, A272075, A272160, A271144, A272285, A272324, A076808.
%K A272323 nonn
%O A272323 1,3
%A A272323 _Robert Price_, Apr 25 2016