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A103173
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Numbers k such that the decimal digits of k are not present in k^2, k^3, or k^4.
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3
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OFFSET
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1,1
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COMMENTS
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No more terms exist below 10^100. The last five digits of any larger term must be 75557, 85557, 88787, 88188, 88988 or 98988. - Hagen von Eitzen, Jun 16 2009
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LINKS
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EXAMPLE
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For k=77, the 1st through 4th powers are {77, 5929, 456533, 35153041}.
Digits of k appear first in the 5th powers {32, 243, 16807, 32768, 418195493, 2706784157}.
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MATHEMATICA
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Select[Range[10^3], ContainsNone[IntegerDigits[#], Union[IntegerDigits[#^2], IntegerDigits[#^3], IntegerDigits[#^4]]]&] (* James C. McMahon, Jan 17 2024 *)
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CROSSREFS
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KEYWORD
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base,nonn,more
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AUTHOR
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STATUS
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approved
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