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Search: id:A091643
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| A091643 |
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Number of primes less than 10^n which do not contain the digit 9. |
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+0
11
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| 4, 19, 108, 687, 4766, 35139, 267486, 2083814, 16531372, 133059504, 1082995490, 8896945667
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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Number of primes less than 10^n after removing any primes with at least one digit 9.
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EXAMPLE
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a(2) = 19 because of the 25 primes less than 10^2, 6 have at least one digit 9; 25-6 = 19.
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MATHEMATICA
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NextPrim[n_] := Block[{k = n + 1}, While[ !PrimeQ[k], k++ ]; k]; c = 0; p = 1; Do[ While[ p = NextPrim[p]; p < 10^n, If[ Position[ IntegerDigits[p], 9] == {}, c++ ]]; Print[c]; p--, {n, 1, 8}] (from Robert G. Wilson v Feb 02 2004)
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CROSSREFS
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a(n) + A091710(n) = A006880(n).
Cf. A091634, A091635, A091636, A091637, A091638, A091639, A091640, A091641, A091642.
Sequence in context: A088129 A082030 A052751 this_sequence A117397 A004212 A060905
Adjacent sequences: A091640 A091641 A091642 this_sequence A091644 A091645 A091646
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KEYWORD
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more,nonn,base
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AUTHOR
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Enoch Haga (Enokh(AT)comcast.net), Jan 30 2004
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EXTENSIONS
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Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 02 2004
a(9)-a(12) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Feb 14 2008
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