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Numbers k such that k and k^2 use only the digits 0, 2, 4, 5 and 8.
1

%I #7 Apr 12 2024 09:51:26

%S 0,2,5,20,22,45,50,200,202,205,220,450,500,502,505,2000,2002,2005,

%T 2020,2022,2050,2200,2202,2245,2255,4500,4522,5000,5002,5005,5020,

%U 5022,5045,5050,20000,20002,20005,20020,20022,20050,20200,20205,20220,20500,20505,20555,22000,22002,22005,22020,22450,22550,24205,45000,45005,45220,50000,50002,50005

%N Numbers k such that k and k^2 use only the digits 0, 2, 4, 5 and 8.

%C Generated with DrScheme.

%H Jonathan Wellons, <a href="/A136900/b136900.txt">Table of n, a(n) for n = 1..1602</a>

%H J. Wellons, <a href="https://web.archive.org/web/20090206165028/http://jonathanwellons.com/shared-digits/">Tables of Shared Digits</a> [archived]

%e 5058542502^2 = 25588852244540420004.

%K base,nonn

%O 1,2

%A Jonathan Wellons (wellons(AT)gmail.com), Jan 22 2008