A114826 Indices of Fibonacci numbers with 10 distinct prime factors.
90, 126, 165, 256, 258, 266, 296, 304, 322, 369, 375, 376, 424, 428, 429, 474, 484, 494, 506, 574, 578, 589, 633, 646, 652, 658, 663, 664, 668, 669, 670, 687, 703, 705, 716, 724, 742, 754, 779, 782, 807, 845, 875, 892, 906, 909, 921, 946, 956, 964, 986, 1004, 1054, 1075, 1084, 1119, 1126, 1132, 1149, 1169, 1171, 1214, 1222, 1227
Offset: 1
Keywords
Examples
a(1)=90 because the 90th Fibonacci number (i.e., 2880067194370816120) consists of 10 distinct prime factors (i.e., 2^3 * 5 * 11 * 17 * 19 * 31 * 61 * 181 * 541 * 109441).
Links
- Amiram Eldar, Table of n, a(n) for n = 1..69
- Blair Kelly, Fibonacci and Lucas Factorizations.
Programs
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PARI
n=1;while(n<305,if(omega(fibonacci(n))==10,print1(n,", "));n++)
Extensions
More terms from Ryan Propper, Apr 26 2006
a(52)-a(64) from Max Alekseyev, Aug 18 2013