A153865 Second-to-largest of four consecutive Fibonacci numbers such that sum of those four consecutive Fibonacci numbers is a prime number.

2, 3, 8, 13, 55, 144, 610, 987, 2584, 832040, 14930352, 102334155, 1836311903, 32951280099, 1548008755920, 190392490709135, 8944394323791464, 114059301025943970552219

Offset

1,1

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

Table of n, a(n) for n=1..18.

Mathematica

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
Select[Partition[Fibonacci[Range[0, 200]], 4, 1], PrimeQ[Total[#]]&][[All, 3]] (* Harvey P. Dale, Aug 21 2021 *)

Crossrefs

Cf. A000045, A001906, A000071, A001605, A153862, A153863

Sequence in context: A077055 A327868 A145929 * A369774 A331820 A368855

Adjacent sequences: A153862 A153863 A153864 * A153866 A153867 A153868

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Jan 03 2009

Extensions

Definition modified by Harvey P. Dale, Jul 04 2022

Status

approved