A153862 - OEIS

A153862

Smallest of four consecutive Fibonacci numbers such that sum of four consecutive Fibonacci numbers is prime number.

1, 1, 3, 5, 21, 55, 233, 377, 987, 317811, 5702887, 39088169, 701408733, 12586269025, 591286729879, 72723460248141, 3416454622906707, 43566776258854844738105

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OFFSET

1,3

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, a]]; a=b; b=c; c=d, {n, 3, 6!}]; lst

Transpose[Select[Partition[Fibonacci[Range[500]], 4, 1], PrimeQ[ Total[ #]]&]] [[1]] (* Harvey P. Dale, Jan 11 2013 *)

CROSSREFS

Cf. A000045, A001906, A000071, A001605

Sequence in context: A319488 A110026 A235136 * A266203 A264683 A286033

Adjacent sequences: A153859 A153860 A153861 * A153863 A153864 A153865

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Jan 03 2009

STATUS

approved