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A136919
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Numbers k such that k and k^2 use only the digits 0, 2, 5, 8 and 9.
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1
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0, 5, 50, 95, 500, 505, 950, 995, 2255, 5000, 5005, 5050, 5095, 9500, 9950, 9995, 22550, 29255, 50000, 50005, 50050, 50095, 50500, 50555, 50950, 89555, 89905, 90555, 90995, 95000, 95005, 99500, 99950, 99995, 225500, 225505, 225585, 292550, 500000, 500005, 500050, 500095, 500500, 500505, 500950, 500995, 502005, 505000, 505550, 505555, 508805
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OFFSET
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1,2
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COMMENTS
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Generated with DrScheme.
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LINKS
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EXAMPLE
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502950582585^2 = 252959288522590905282225.
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MATHEMATICA
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With[{c={0, 2, 5, 8, 9}}, Select[FromDigits/@Tuples[c, 6], SubsetQ[c, IntegerDigits[ #^2]]&]] (* Harvey P. Dale, Jan 15 2019 *)
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CROSSREFS
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KEYWORD
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base,nonn
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AUTHOR
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Jonathan Wellons (wellons(AT)gmail.com), Jan 22 2008
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STATUS
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approved
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