A114837 Indices of Fibonacci numbers with 8 distinct prime factors.
60, 72, 110, 112, 114, 128, 130, 135, 147, 154, 170, 171, 174, 217, 225, 231, 236, 238, 275, 279, 282, 290, 309, 316, 338, 355, 366, 374, 425, 436, 442, 452, 471, 481, 524, 538, 548, 553, 575, 642, 649, 694, 796, 801, 818, 833, 838, 847, 849, 851, 886, 889, 922, 923, 926, 939, 949, 958, 963, 965, 971, 979, 1037, 1041, 1077, 1079, 1094, 1111, 1127, 1137, 1141, 1153, 1154, 1189, 1211
Offset: 1
Keywords
Examples
a(1)=60 because the 60th Fibonacci number consists of 8 distinct prime factors (i.e., 1548008755920 = 2^4 x 3^2 x 5 x 11 x 31 x 41 x 61 x 2521).
Links
- Amiram Eldar, Table of n, a(n) for n = 1..87
- Blair Kelly, Fibonacci and Lucas Factorizations.
Programs
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PARI
n=1;while(n<370,if(omega(fibonacci(n))==8,print1(n,", "));n++)
Extensions
More terms from Ryan Propper, Apr 26 2006
a(53)-a(75) from Max Alekseyev, Aug 18 2013