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Numbers k such that k and k^2 use only the digits 2, 5, 6 and 9.
0

%I #11 May 10 2024 11:28:39

%S 5,25,22925,22955665

%N Numbers k such that k and k^2 use only the digits 2, 5, 6 and 9.

%C Generated with DrScheme.

%C No additional terms up to 10^11. - _Harvey P. Dale_, Mar 12 2018

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

%e 22955665^2 = 526962555592225.

%t With[{c={2,5,6,9}},Select[Flatten[Table[FromDigits/@Tuples[c,n],{n,9}]],SubsetQ[c,IntegerDigits[#^2]]&]] (* _Harvey P. Dale_, Mar 12 2018 *)

%K base,nonn,more

%O 1,1

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