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 A153865 #6 Jul 04 2022 15:37:57
%S A153865 2,3,8,13,55,144,610,987,2584,832040,14930352,102334155,1836311903,
%T A153865 32951280099,1548008755920,190392490709135,8944394323791464,
%U A153865 114059301025943970552219
%N A153865 Second-to-largest of four consecutive Fibonacci numbers such that sum of those four consecutive Fibonacci numbers is a prime number.
%C A153865 1+1+2+3=7, 1+2+3+5=11, 3+5+8+13=29, 5+8+13+21=47, 21+34+55+89=199,...
%t A153865 a=0;b=1;c=1;lst={};Do[d=Fibonacci[n];p=a+b+c+d;If[PrimeQ[p],AppendTo[lst,c]];a=b;b=c;c=d,{n,3,6!}];lst
%t A153865 Select[Partition[Fibonacci[Range[0,200]],4,1],PrimeQ[Total[#]]&][[All,3]] (* _Harvey P. Dale_, Aug 21 2021 *)
%Y A153865 Cf. A000045, A001906, A000071, A001605, A153862, A153863
%K A153865 nonn
%O A153865 1,1
%A A153865 _Vladimir Joseph Stephan Orlovsky_, Jan 03 2009
%E A153865 Definition modified by _Harvey P. Dale_, Jul 04 2022