A114815 Indices of Fibonacci numbers with 6 prime factors when counted with multiplicity.

12, 40, 50, 64, 75, 92, 95, 99, 116, 117, 129, 133, 153, 155, 159, 177, 188, 194, 205, 206, 219, 237, 245, 265, 278, 314, 323, 327, 339, 341, 343, 346, 356, 358, 361, 362, 394, 407, 411, 417, 422, 427, 437, 446, 454, 466, 482, 502, 503, 505, 514, 515, 527

Offset: 1

Author

Shyam Sunder Gupta, Feb 19 2006

Keywords

• nonn

Examples

			a(1)=12 because 12th Fibonacci number (i.e., 144) consists of 6 prime factors (i.e., 2*2*2*2*3*3).
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..120
• Blair Kelly, Fibonacci and Lucas Factorizations.

Crossrefs

Column k=6 of A303215.

Programs

Mathematica

t = {}; Do[f = FactorInteger[Fibonacci[n]]; If[Total[Transpose[f][[2]]] == 6, AppendTo[t, n]], {n, 2, 100}]; t (* T. D. Noe, Mar 14 2014 *)
Position[Fibonacci[Range[550]],?(PrimeOmega[#]==6&)]//Flatten (* _Harvey P. Dale, Jun 12 2017 *)

PARI

n=1;while(n<330,if(bigomega(fibonacci(n))==6,print1(n,", "));n++)

Extensions

More terms from Ryan Propper, May 22 2006