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National and Regional Contests
PEN Problems
PEN A Problems
50
50
Part of
PEN A Problems
Problems
(1)
A 50
Source:
5/25/2007
Show that every integer
k
>
1
k>1
k
>
1
has a multiple less than
k
4
k^4
k
4
whose decimal expansion has at most four distinct digits.
Divisibility Theory