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A275383
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Number of prime factors (with multiplicity) of generalized Fermat number 12^(2^n) + 1.
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3
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OFFSET
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0,2
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LINKS
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FORMULA
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EXAMPLE
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b(n) = 12^(2^n) + 1.
Complete Factorizations
b(0) = 13
b(1) = 5*29
b(2) = 89*233
b(3) = 17*97*260753
b(4) = 153953*1200913648289
b(5) = 769*44450180997616192602560262634753
b(6) = 36097*81281*69619841*73389730593973249*P35
b(7) = 257*P136
b(8) = 8253953*295278642689*5763919006323142831065059613697*P96*P132
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MATHEMATICA
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PROG
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(PARI) a(n) = bigomega(factor(12^(2^n)+1))
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CROSSREFS
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KEYWORD
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nonn,hard,more
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AUTHOR
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EXTENSIONS
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a(8) was found in 2009 by Tom Womack
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STATUS
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approved
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