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A217428
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Numbers of the form 2^r*19^s whose decimal representation contains each digit 0-9 a prime number of times.
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12
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611897345462967423035506688, 98653640312161724942079430255181824, 195052744758517664687371356106391552, 69210613747809022824201189555756335104, 401770033097538379880522919696423452672
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OFFSET
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1,1
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COMMENTS
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See the formula section for more data, and others in cross-reference for similar and motivation.
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LINKS
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FORMULA
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EXAMPLE
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2^55 * 19^8 has two copies of each of the digits 0, 1, 2, 7 and 9; three copies of each of 3, 4, 5 and 8; and five copies of the digit 6. All smaller numbers of the required type have at least a digit counted 0, 1, or a composite number of times, so this is a(1).
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MATHEMATICA
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nd = 50; mx = 10^nd; pr = Prime@Range@PrimePi@nd; pQ[n_] := Union[DigitCount@n, pr] == pr; Sort@ Select[Flatten@ Table[2^p 19^q, {p, Log[2, mx/19]}, {q, Log[19, mx/2^p]}], pQ] (* Giovanni Resta, Jan 16 2014 *)
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CROSSREFS
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Cf. A217854, A217429, A217430, A217404, A217407, A217410, A217413, A217416, A217419, A217422, A217425, A217431.
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KEYWORD
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nonn,base,less
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AUTHOR
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STATUS
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approved
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