A114820 - OEIS

A114820

Indices of Fibonacci numbers with 11 prime factors when counted with multiplicity.

138, 140, 160, 190, 208, 222, 230, 250, 261, 285, 310, 318, 345, 351, 387, 388, 399, 402, 426, 469, 470, 483, 485, 488, 498, 507, 508, 518, 531, 534, 549, 568, 596, 598, 632, 656, 671, 678, 686, 688, 703, 715, 786, 788, 806, 808, 844, 872, 873, 874, 902

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OFFSET

1,1

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..77

Blair Kelly, Fibonacci and Lucas Factorizations.

EXAMPLE

a(1)=138 because the 138th Fibonacci number (i.e., 30960598847965113057878492344) consists of 11 prime factors (i.e., 2*2*2*137*139*461*691*829*18077*28657*1485571).

MATHEMATICA

Select[Range[1000], PrimeOmega[Fibonacci[#]]==11&] (* Harvey P. Dale, Jan 09 2022 *)

PROG

(PARI) n=1; while(n<320, if(bigomega(fibonacci(n))==11, print1(n, ", ")); n++)

CROSSREFS

Column k=11 of A303215.

Sequence in context: A351237 A292094 A031964 * A107939 A008888 A045045

Adjacent sequences: A114817 A114818 A114819 * A114821 A114822 A114823

KEYWORD

hard,nonn

AUTHOR

Shyam Sunder Gupta, Feb 19 2006

EXTENSIONS

More terms from Ryan Propper, May 24 2006

STATUS

approved