A153867 Primes which are the sum of four consecutive Fibonacci numbers.

7, 11, 29, 47, 199, 521, 2207, 3571, 9349, 3010349, 54018521, 370248451, 6643838879, 119218851371, 5600748293801, 688846502588399, 32361122672259149, 412670427844921037470771, 258899611203303418721656157249445530046830073044201152332257717521

Offset

1,1

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

Vincenzo Librandi, Table of n, a(n) for n = 1..28

Harvey P. Dale and others, A005479 and A153867, SeqFan list, Apr 24 2014.

Formula

a(n) = A005479(n+2). - R. J. Mathar, Jan 05 2009 [See also link to the SeqFan list. - M. F. Hasler, Apr 24 2014]

Mathematica

a=0; b=1; c=1; lst={}; Do[d=Fibonacci[n]; p=a+b+c+d; If[PrimeQ[p], AppendTo[lst, p]]; a=b; b=c; c=d, {n, 3, 6!}]; lst
Select[Total/@Partition[Fibonacci[Range[500]], 4, 1], PrimeQ] (* Harvey P. Dale, Apr 23 2014 *)

Prog

(PARI) list(lim)=my(v=List(), a=7, b=11); while(a<=lim, if(isprime(a), listput(v, a)); [a, b]=[b, a+b]); Vec(v) \\ Charles R Greathouse IV, Oct 07 2016

Crossrefs

Cf. A001906, A000071, A001605, A153862, A153863, A153865, A153866.

Primes >3 of A000032 and of A000204.

Sequence in context: A023254 A129807 A045461 * A153325 A109907 A121534

Adjacent sequences: A153864 A153865 A153866 * A153868 A153869 A153870

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Jan 03 2009

Extensions

One additional term (a(19)) from Harvey P. Dale, Apr 23 2014

Status

approved