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

1,1

Links

Amiram Eldar, Table of n, a(n) for n = 1..56

Blair Kelly, Fibonacci and Lucas Factorizations.

Example

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)

Mathematica

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

Prog

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

Crossrefs

Column k=12 of A303217.

Sequence in context: A266058 A261678 A136603 * A370251 A305062 A342452

Adjacent sequences: A114821 A114822 A114823 * A114825 A114826 A114827

Keyword

hard,nonn

Author

Shyam Sunder Gupta, Feb 19 2006

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

Status

approved