A114819 Indices of Fibonacci numbers with 10 prime factors when counted with multiplicity.

36, 100, 114, 165, 174, 256, 266, 273, 282, 296, 304, 322, 325, 366, 369, 376, 406, 424, 428, 429, 484, 494, 506, 574, 578, 589, 633, 637, 642, 646, 652, 658, 663, 664, 668, 669, 670, 687, 705, 716, 724, 742, 754, 779, 782, 807, 845, 892, 909, 921, 946, 956

Offset: 1

Author

Shyam Sunder Gupta, Feb 19 2006

Keywords

• nonn

Examples

			a(1)=36 because the 36th Fibonacci number (i.e., 14930352) consists of 10 prime factors (i.e., 2*2*2*2*3*3*3*17*19*107).
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..71
• Blair Kelly, Fibonacci and Lucas Factorizations.

Crossrefs

Column k=10 of A303215.

Programs

Mathematica

t = {}; Do[f = FactorInteger[Fibonacci[n]]; If[Total[Transpose[f][[2]]] == 10, AppendTo[t, n]], {n, 2, 200}]; t (* T. D. Noe, Mar 14 2014 *)
Select[Range[1000],PrimeOmega[Fibonacci[#]]==10&] (* Harvey P. Dale, Jul 24 2021 *)

PARI

n=1;while(n<305,if(bigomega(fibonacci(n))==10,print1(n,", "));n++)

Extensions

More terms from Ryan Propper, May 24 2006