A114840 Indices of Fibonacci numbers with 5 distinct prime factors.
30, 36, 42, 44, 45, 50, 57, 63, 66, 68, 69, 75, 76, 98, 111, 118, 124, 134, 141, 153, 169, 172, 183, 185, 201, 202, 203, 213, 218, 229, 247, 253, 267, 302, 303, 329, 335, 347, 363, 371, 373, 377, 381, 382, 386, 395, 398, 413, 415, 439, 443, 461
Offset: 1
Keywords
Examples
a(1)=30 because 30th Fibonacci number consists of 5 distinct prime factors (i.e., 832040 = 2^3 * 5 * 11 * 31 * 61).
Links
- Amiram Eldar, Table of n, a(n) for n = 1..116 (terms 1..106 from Max Alekseyev)
- Blair Kelly, Fibonacci and Lucas Factorizations.
Programs
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PARI
n=1;while(n<305,if(omega(fibonacci(n))==5,print1(n,", "));n++)
Formula
{n: A022307(n)=5}. - R. J. Mathar, Nov 29 2015
Extensions
More terms from Ryan Propper, Apr 26 2006
a(56)-a(106) from Max Alekseyev, Aug 18 2013