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A153863
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Second-to-smallest of four consecutive Fibonacci numbers such that sum of four consecutive Fibonacci numbers is prime number.
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10
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1, 2, 5, 8, 34, 89, 377, 610, 1597, 514229, 9227465, 63245986, 1134903170, 20365011074, 956722026041, 117669030460994, 5527939700884757, 70492524767089125814114, 44225333398004061429732838340729878012027363723832270745251370289
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OFFSET
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1,2
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COMMENTS
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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,...
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LINKS
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MATHEMATICA
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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 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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