A153863 - OEIS

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

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OFFSET

1,2

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

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 *)

CROSSREFS

Cf. A000045, A001906, A000071, A001605, A153862

Sequence in context: A025533 A295970 A086809 * A153890 A130378 A323461

Adjacent sequences: A153860 A153861 A153862 * A153864 A153865 A153866

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Jan 03 2009

EXTENSIONS

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

STATUS

approved