A153863 Second-to-smallest of four consecutive Fibonacci numbers such that sum of four consecutive Fibonacci numbers is prime number.

1, 2, 5, 8, 34, 89, 377, 610, 1597, 514229, 9227465, 63245986, 1134903170, 20365011074, 956722026041, 117669030460994, 5527939700884757, 70492524767089125814114, 44225333398004061429732838340729878012027363723832270745251370289

Offset: 1

Author

Vladimir Joseph Stephan Orlovsky, Jan 03 2009

Keywords

• nonn

Comments

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,...

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..27

Crossrefs

Cf. A000045, A001906, A000071, A001605, A153862

Programs

Mathematica

a=0;b=1;c=1;lst={};Do[d=Fibonacci[n];p=a+b+c+d;If[PrimeQ[p],AppendTo[lst,b]];a=b;b=c;c=d,{n,3,6!}];lst
Select[Partition[Fibonacci[Range[200]],4,1],PrimeQ[Total[#]]&][[All,2]] (* Harvey P. Dale, Aug 28 2016 *)

Extensions

One more term from Harvey P. Dale, Aug 28 2016