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A275381
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Number of prime factors (with multiplicity) of generalized Fermat number 10^(2^n) + 1.
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2
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OFFSET
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0,3
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LINKS
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FORMULA
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EXAMPLE
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b(n) = 10^(2^n) + 1.
Complete Factorizations
b(0) = 11
b(1) = 101
b(2) = 73*137
b(3) = 17*5882353
b(4) = 353*449*641*1409*69857
b(5) = 19841*976193*6187457*834427406578561
b(6) = 1265011073*
15343168188889137818369*515217525265213267447869906815873
b(7) = 257*15361*453377*P116
b(8) = 10753*8253953*9524994049*73171503617*P225
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MATHEMATICA
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PROG
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(PARI) a(n) = bigomega(factor(10^(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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STATUS
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approved
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