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Indices of Fibonacci numbers with 12 prime factors when counted with multiplicity.
1

%I #17 May 05 2024 19:19:41

%S 48,60,90,126,176,258,297,315,375,385,410,430,441,459,474,475,496,555,

%T 609,621,627,638,682,710,711,729,734,759,805,814,826,854,875,897,903,

%U 906,908,925,932,935,981,987,994,1022,1067,1089,1105,1244,1246,1251,1265,1285,1341,1348

%N Indices of Fibonacci numbers with 12 prime factors when counted with multiplicity.

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

%e a(1)=48 because the 48th Fibonacci number (i.e., 4807526976) consists of 12 prime factors (i.e., 2*2*2*2*2*2*3*3*7*23*47*1103).

%o (PARI) n=1;while(n<320,if(bigomega(fibonacci(n))==12,print1(n,", "));n++)

%Y Column k=12 of A303215.

%K hard,nonn

%O 1,1

%A _Shyam Sunder Gupta_, Feb 19 2006

%E More terms from _Ryan Propper_, May 24 2006

%E More terms from _Amiram Eldar_, Oct 14 2019