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A204691
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Numbers n such that n contains exactly 5 digits, all distinct, and n^2 contains exactly 9 distinct digits.
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0
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10278, 12543, 12586, 13268, 13278, 13698, 14098, 15963, 16549, 16854, 17529, 18072, 19023, 20316, 20513, 20754, 21397, 21439, 23019, 23178, 24807, 25941, 26351, 26409, 27105, 27984, 28346, 28731, 29034, 29106
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OFFSET
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1,1
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COMMENTS
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There are 30 terms (a(30)=29106); the only prime is a(17)=21397.
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LINKS
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MATHEMATICA
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Select[Range[10000, Sqrt[10^9]], Length[Union[IntegerDigits[#]]] == 5 && Length[Union[IntegerDigits[#^2]]] == 9 &] (* T. D. Noe, Jan 18 2012 *)
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CROSSREFS
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KEYWORD
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base,nonn,fini,full
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AUTHOR
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STATUS
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approved
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