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A153863
Second-to-smallest of four consecutive Fibonacci numbers such that sum of four consecutive Fibonacci numbers is prime number.
10
1, 2, 5, 8, 34, 89, 377, 610, 1597, 514229, 9227465, 63245986, 1134903170, 20365011074, 956722026041, 117669030460994, 5527939700884757, 70492524767089125814114, 44225333398004061429732838340729878012027363723832270745251370289
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
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
KEYWORD
nonn
AUTHOR
EXTENSIONS
One more term from Harvey P. Dale, Aug 28 2016
STATUS
approved