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Search: id:A124648
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| A124648 |
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Numbers n such that n^i (i=1..7) are all zeroless. |
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+0
1
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OFFSET
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1,2
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COMMENT
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No other terms < 10^6. Is the sequence finite?
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EXAMPLE
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15483^i (i=1..7)= 15483, 239723289, 3711635683587, 57467255288977521, 889765513639238957643, 13776239447676336781186569, 213297515368372722383111647827 all zeroless
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MATHEMATICA
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Select[Range[10^6], FreeQ[Union[IntegerDigits[ # ], IntegerDigits[ #^2], IntegerDigits[ #^3], IntegerDigits[ #^4], IntegerDigits[ #^5], IntegerDigits[ #^6], IntegerDigits[ #^7]], 0]&]
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CROSSREFS
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Cf. A104264.
Sequence in context: A102977 A131599 A076384 this_sequence A093339 A113566 A020775
Adjacent sequences: A124645 A124646 A124647 this_sequence A124649 A124650 A124651
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KEYWORD
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nonn,base
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AUTHOR
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Zak Seidov (zakseidov(AT)gmail.com), Dec 22 2006
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