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Numbers k such that k and k^2 use only the digits 2, 3, 5 and 9.
0

%I #12 May 01 2024 11:29:20

%S 3,5,23,235,23522235

%N Numbers k such that k and k^2 use only the digits 2, 3, 5 and 9.

%C Generated with DrScheme.

%C From _Pontus von Brömssen_, May 01 2024: (Start)

%C a(6) > 2*10^46 (if it exists).

%C If k = x*10^m is a term where 1 < x < 10, then 2.2925952395255525252922955593255322529933992229 < x < 6.

%C (End)

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

%e 23522235^2 = 553295539395225.

%K base,nonn,more

%O 1,1

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