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A137051
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Numbers k such that k and k^2 use only the digits 1, 4, 5, 8 and 9.
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2
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1, 9, 141, 441, 941, 1191, 99559, 118988, 445488, 999559, 9958988, 44544191, 445919891, 941195441, 994458891, 9195411891, 9459859859, 9994941191, 11898949191, 44551594191, 44555449891, 94858548141, 99498181488, 445145914891, 445584958891, 919184195441, 945944814191, 9189418814859, 9195188958988, 9444544454559
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OFFSET
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1,2
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COMMENTS
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Generated with DrScheme.
Conjecture: The only squares present in the sequence are 1, 9, and 441. - Stefano Spezia, Apr 18 2024
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LINKS
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EXAMPLE
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95819859194191^2 = 9181445415994589515848144481.
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MATHEMATICA
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Select[Range[10^6], SubsetQ[{1, 4, 5, 8, 9}, Union[IntegerDigits[#], IntegerDigits[#^2]]]&] (* Stefano Spezia, Apr 18 2024 *)
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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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