A114817 - OEIS

%I #20 May 05 2024 19:20:49

%S 54,78,102,128,130,135,147,154,170,171,182,217,231,236,238,279,290,

%T 309,316,338,355,374,436,442,452,471,481,524,538,548,553,649,694,725,

%U 796,801,818,833,838,847,849,851,886,889,922,923,926,939,949,958,963,965

%N Indices of Fibonacci numbers with 8 prime factors when counted with multiplicity.

%H Amiram Eldar, <a href="/A114817/b114817.txt">Table of n, a(n) for n = 1..79</a>

%H Blair Kelly, <a href="http://mersennus.net/fibonacci/">Fibonacci and Lucas Factorizations</a>.

%e a(1)=54 because 54th Fibonacci number (i.e., 86267571272) consists of 8 prime factors (i.e., 2*2*2*17*19*53*109*5779).

%t t = {}; Do[f = FactorInteger[Fibonacci[n]]; If[Total[Transpose[f][[2]]] == 8, AppendTo[t, n]], {n, 2, 200}]; t (* _T. D. Noe_, Mar 14 2014 *)

%o (PARI) n=1;while(n<320,if(bigomega(fibonacci(n))==8,print1(n,", "));n++)

%Y Column k=8 of A303215.

%K nonn

%O 1,1

%A _Shyam Sunder Gupta_, Feb 19 2006

%E More terms from _Ryan Propper_, May 24 2006