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 A143830 #8 Jun 02 2025 00:33:04 %S A143830 11,47,107,191,431,587,971,1451,2027,2351,2699,3467,4799,5807,6911, %T A143830 7499,8111,8747,10091,10799,14699,15551,16427,17327,18251,25391,27647, %U A143830 36299,41771,44651,55487,57131,62207,67499,71147,74891,80687,92927,99371 %N A143830 Primes of the form 12*n^2-1. %C A143830 Equals A089682 without the 2. [Sketch of proof: the primes 3*n^2-1 are odd if 2 is left out, so 3*n^2 is even, so n^2 is even, so n is even = 2*k. 3*(2*k)^2-1 = 12*k^2-1.] [From _R. J. Mathar_, Sep 04 2008] %t A143830 p = 12; a = {}; Do[k = p x^2 - 1; If[PrimeQ[k], AppendTo[a, k]], {x, 1, 1000}]; a %Y A143830 A066436, A066049, A090686, A090684, A143826, A143827, A143828, A143829 %K A143830 nonn %O A143830 1,1 %A A143830 _Artur Jasinski_, Sep 02 2008