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2004 Spain Mathematical Olympiad
Problem 4
Problem 4
Part of
2004 Spain Mathematical Olympiad
Problems
(1)
National Spain Olympiad 2004, Problem 4
Source: National Spain Olympiad 2004
5/31/2017
Does there exist such a power of
2
{2}
2
, that when written in the decimal system its digits are all different than zero and it is possible to reorder the other digits to form another power of
2
{2}
2
? Justify your answer.
number theory
math olympiad