A153891 Largest of five consecutive Fibonacci numbers such that sum of five consecutive Fibonacci numbers is prime number.

3, 8, 13, 55, 610, 987, 17711, 832040, 1346269, 5702887, 139583862445, 27777890035288, 61305790721611591, 679891637638612258, 19740274219868223167, 96151855463018422468774568, 659034621587630041982498215

Offset

1,1

Comments

0+1+1+2=3=7, 1+2+3+5+8=19, 2+3+5+8=13=31, 8+13+21+34+55=131, 89+144+233+377+610=1453, 144+233+377+610+987=2351,...

Links

Table of n, a(n) for n=1..17.

Mathematica

a=0; b=1; c=1; d=2; lst={}; Do[e=Fibonacci[n]; p=a+b+c+d+e; If[PrimeQ[p], AppendTo[lst, e]]; a=b; b=c; c=d; d=e, {n, 4, 6!}]; lst
Transpose[Select[Partition[Fibonacci[Range[0, 400]], 5, 1], PrimeQ[ Total[ #]]&]][[5]] (* Harvey P. Dale, Nov 14 2011 *)

Crossrefs

Cf. A000045, A001906, A000071, A001605, A153862, A153863, A153865, A153866, A153867, A153887, A153888, A153889, A153890

Sequence in context: A355514 A281267 A346054 * A056402 A366071 A305179

Adjacent sequences: A153888 A153889 A153890 * A153892 A153893 A153894

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Jan 03 2009

Extensions

One more term (a(17)) from Harvey P. Dale, Nov 14 2011

Status

approved