A153888 - OEIS

A153888

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

1, 2, 3, 13, 144, 233, 4181, 196418, 317811, 1346269, 32951280099, 6557470319842, 14472334024676221, 160500643816367088, 4660046610375530309, 22698374052006863956975682, 155576970220531065681649693

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OFFSET

1,2

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

Harvey P. Dale, Table of n, a(n) for n = 1..29

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, b]]; a=b; b=c; c=d; d=e, {n, 4, 6!}]; lst

Select[Partition[Fibonacci[Range[0, 150]], 5, 1], PrimeQ[Total[#]]&][[All, 2]] (* Harvey P. Dale, Dec 11 2018 *)

CROSSREFS

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

Sequence in context: A280012 A224792 A062447 * A068083 A137459 A267422

Adjacent sequences: A153885 A153886 A153887 * A153889 A153890 A153891

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Jan 03 2009

STATUS

approved