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Baltic Way
2008 Baltic Way
9
9
Part of
2008 Baltic Way
Problems
(1)
hard equation
Source: baltic way 2008
11/18/2008
Suppose that the positive integers
a
a
a
and
b
b
b
satisfy the equation a^b\minus{}b^a\equal{}1008 Prove that
a
a
a
and
b
b
b
are congruent modulo 1008.
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Euler
number theory unsolved
number theory