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%I #23 Jul 27 2016 10:23:39
%S 1,2,2,3,2,2,5,2,5
%N Number of prime factors (with multiplicity) of generalized Fermat number 12^(2^n) + 1.
%H Arkadiusz Wesolowski, <a href="/A275383/a275383.txt">A 96-digit prime factor of b(8)</a>
%F a(n) = A001222(A152585(n)). - _Felix Fröhlich_, Jul 25 2016
%e b(n) = 12^(2^n) + 1.
%e Complete Factorizations
%e b(0) = 13
%e b(1) = 5*29
%e b(2) = 89*233
%e b(3) = 17*97*260753
%e b(4) = 153953*1200913648289
%e b(5) = 769*44450180997616192602560262634753
%e b(6) = 36097*81281*69619841*73389730593973249*P35
%e b(7) = 257*P136
%e b(8) = 8253953*295278642689*5763919006323142831065059613697*P96*P132
%t Table[PrimeOmega[12^(2^n) + 1], {n, 0, 7}] (* _Michael De Vlieger_, Jul 26 2016 *)
%o (PARI) a(n) = bigomega(factor(12^(2^n)+1))
%Y Cf. A152585, A273950.
%K nonn,hard,more
%O 0,2
%A _Arkadiusz Wesolowski_, Jul 25 2016
%E a(8) was found in 2009 by Tom Womack
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