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A193257
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Floor((10^n)/(log(10^n) - 1)).
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3
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7, 27, 169, 1217, 9512, 78030, 661458, 5740303, 50701542, 454011971, 4110416300, 37550193649, 345618860220, 3201414635780, 29816233849000, 279007258230819, 2621647966812031, 24723998785919976, 233922961602470390, 2219671974013732243
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OFFSET
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1,1
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COMMENTS
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lim n -> infinity (log(n) - n/pi(n)) = 1, where pi(n) is the prime counting function.
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REFERENCES
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A. M. Legendre, Essai sur la Théorie des Nombres, Paris: Duprat, 1808.
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LINKS
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FORMULA
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a(n) = floor((10^n)/(log(10^n) - 1)).
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EXAMPLE
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a(2) = 27 because (10^2)/(log(10^2) - 1) = 27.7379415786....
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MATHEMATICA
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Table[Floor[10^n/(Log[10^n] - 1)], {n, 20}]
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PROG
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(Magma) [Floor(10^n/(Log(10^n)-1)) : n in [1..20]]
(PARI) for(n=1, 20, print1(floor(10^n/(log(10^n)-1)), ", "))
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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