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 A105762 #12 Feb 16 2025 08:32:57
%S A105762 3,7,11,71,131,241,443,1499,196331,86992799,541292033,
%T A105762 292997064989357251,129824812729295169371,238785058551151434437,
%U A105762 5026368970977284897651,105803877284856287511991
%N A105762 Primes in A001644 (the Lucas 3-step numbers).
%H A105762 Tony D. Noe and Jonathan Vos Post, <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL8/Noe/noe5.html">Primes in Fibonacci n-step and Lucas n-step Sequences,</a> J. of Integer Sequences, Vol. 8 (2005), Article 05.4.4
%H A105762 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Lucasn-StepNumber.html">Lucas n-Step Number</a>
%F A105762 a(n) = A001644(A104576(n)). - _Arthur O'Dwyer_, Jul 31 2024
%t A105762 a={-1, -1, 3}; lst={}; Do[s=Plus@@a; a=RotateLeft[a]; a[[ -1]]=s; If[PrimeQ[s], AppendTo[lst, s]], {n, 1000}]; lst
%Y A105762 Cf. A104576 (indices of prime Lucas 3-step numbers).
%K A105762 nonn
%O A105762 1,1
%A A105762 _T. D. Noe_, Apr 22 2005
%E A105762 Name clarified by _Arthur O'Dwyer_, Jul 31 2024