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Indices of Fibonacci numbers with 5 distinct prime factors.
3

%I #24 Oct 14 2019 06:53:59

%S 30,36,42,44,45,50,57,63,66,68,69,75,76,98,111,118,124,134,141,153,

%T 169,172,183,185,201,202,203,213,218,229,247,253,267,302,303,329,335,

%U 347,363,371,373,377,381,382,386,395,398,413,415,439,443,461

%N Indices of Fibonacci numbers with 5 distinct prime factors.

%H Amiram Eldar, <a href="/A114840/b114840.txt">Table of n, a(n) for n = 1..116</a> (terms 1..106 from Max Alekseyev)

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

%F {n: A022307(n)=5}. - _R. J. Mathar_, Nov 29 2015

%e a(1)=30 because 30th fibonacci number consists of 5 distinct prime factors (i.e., 832040 = 2^3 * 5 * 11 * 31 * 61).

%o (PARI) n=1;while(n<305,if(omega(fibonacci(n))==5,print1(n,", "));n++)

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

%Y Column k=5 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(56)-a(106) from _Max Alekseyev_, Aug 18 2013