A114818 Indices of Fibonacci numbers with 9 prime factors when counted with multiplicity.

24, 80, 88, 110, 112, 184, 186, 189, 196, 225, 232, 243, 246, 248, 255, 268, 272, 275, 284, 286, 295, 328, 333, 357, 370, 412, 418, 425, 435, 477, 539, 556, 559, 561, 575, 591, 602, 603, 604, 625, 628, 629, 639, 689, 692, 695, 712, 717, 722, 747, 763, 764

Offset: 1

Author

Shyam Sunder Gupta, Feb 19 2006

Keywords

• nonn

Examples

			a(1)=24 because the 54th Fibonacci number (i.e., 46368) consists of 9 prime factors (i.e., 2*2*2*2*2*3*3*7*23).
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..85
• Blair Kelly, Fibonacci and Lucas Factorizations.

Crossrefs

Column k=9 of A303215.

Programs

Mathematica

t = {}; Do[f = FactorInteger[Fibonacci[n]]; If[Total[Transpose[f][[2]]] == 9, AppendTo[t, n]], {n, 2, 200}]; t (* T. D. Noe, Mar 14 2014 *)
Position[Table[If[PrimeOmega[Fibonacci[n]]==9,1,0],{n,800}],1]//Flatten (* Harvey P. Dale, Feb 09 2025 *)

PARI

n=1;while(n<330,if(bigomega(fibonacci(n))==9,print1(n,", "));n++)

Extensions

More terms from Ryan Propper, May 24 2006