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Indices of Fibonacci numbers with 7 distinct prime factors.
3

%I #22 May 05 2024 19:21:34

%S 70,81,104,105,136,148,152,164,182,186,195,207,212,244,246,254,259,

%T 289,291,292,298,305,319,326,332,344,365,367,403,404,423,445,447,451,

%U 458,478,489,511,517,519,526,533,537,543,554,565,566,597,605,679,681,685,698,699,701,721,723,725,737,745,746,749,753,758,766,767,785,813,817,831,842,871,879,901,905,914,955,967,973,985,998,1006,1007,1009,1043,1046,1051,1133,1139,1159,1167,1174,1175,1177,1191,1199,1207,1219

%N Indices of Fibonacci numbers with 7 distinct prime factors.

%H Amiram Eldar, <a href="/A114838/b114838.txt">Table of n, a(n) for n = 1..112</a>

%H Blair Kelly, <a href="http://mersennus.net/fibonacci/">Fibonacci and Lucas Factorizations</a>.

%e a(1)=70 because the 70th Fibonacci number consists of 7 distinct prime factors (i.e., 190392490709135 = 5 x 11 x 13 x 29 x 71 x 911 x 141961).

%t Select[Range[1220],PrimeNu[Fibonacci[#]]==7&] (* _Harvey P. Dale_, Sep 18 2020 *)

%o (PARI) n=1;while(n<310,if(omega(fibonacci(n))==7,print1(n,", "));n++)

%Y Cf. A114823-A114826, A114836-A114841.

%Y Column k=7 of A303217.

%K nonn

%O 1,1

%A _Shyam Sunder Gupta_, Feb 19 2006

%E More terms from _Ryan Propper_, Apr 26 2006

%E a(53)-a(98) from _Max Alekseyev_, Aug 18 2013

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Last modified September 22 06:15 EDT 2024. Contains 376097 sequences. (Running on oeis4.)