A153889 - OEIS

%I #5 Jun 22 2021 16:32:05

%S 1,3,5,21,233,377,6765,317811,514229,2178309,53316291173,

%T 10610209857723,23416728348467685,259695496911122585,

%U 7540113804746346429,36726740705505779255899443,251728825683549488150424261,37281903592600898879479448409585328515842582885579275203077366912825

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

%C 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,...

%t 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

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

%K nonn

%O 1,2

%A _Vladimir Joseph Stephan Orlovsky_, Jan 03 2009