A114824 Indices of Fibonacci numbers with 12 distinct prime factors.

176, 192, 198, 224, 297, 315, 364, 385, 410, 430, 441, 455, 496, 555, 582, 606, 609, 621, 627, 638, 682, 710, 711, 726, 729, 734, 759, 775, 805, 814, 826, 846, 854, 897, 903, 908, 932, 935, 981, 987, 994, 1001, 1002, 1022, 1025, 1067, 1086, 1089, 1105, 1244, 1246

Offset: 1

Author

Shyam Sunder Gupta, Feb 19 2006

Keywords

• hard
• nonn

Examples

			a(1)=176 because 176th Fibonacci number (i.e. 2706074082469569338358691163510069157) consists of 12 distinct prime factors (i.e. 3 * 7 * 43 * 47 * 89 * 199 * 263 * 307 * 881 * 967 * 93058241 * 56241856)
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..56
• Blair Kelly, Fibonacci and Lucas Factorizations.

Crossrefs

Column k=12 of A303217.

Programs

Mathematica

Flatten[Position[Fibonacci[Range[1110]],?(PrimeNu[#]==12&)]] (* _Harvey P. Dale, Jan 17 2015 *)

PARI

n=1;while(n<320,if(omega(fibonacci(n))==12,print1(n,", "));n++)

Extensions

More terms from Ryan Propper, Apr 26 2006

a(42)-a(49) from Max Alekseyev, Aug 17 2013

a(50)-a(51) from Amiram Eldar, Oct 14 2019