A153889 Middle of five consecutive Fibonacci numbers such that sum of five consecutive Fibonacci numbers is prime number.

1, 3, 5, 21, 233, 377, 6765, 317811, 514229, 2178309, 53316291173, 10610209857723, 23416728348467685, 259695496911122585, 7540113804746346429, 36726740705505779255899443, 251728825683549488150424261, 37281903592600898879479448409585328515842582885579275203077366912825

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

Table of n, a(n) for n=1..18.

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

Crossrefs

Cf. A000045, A001906, A000071, A001605, A153862, A153863, A153865, A153866, A153867, A153887, A153888.

Sequence in context: A247680 A179265 A084253 * A364576 A186751 A280037

Adjacent sequences: A153886 A153887 A153888 * A153890 A153891 A153892

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Jan 03 2009

Status

approved