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Baltic Way
2008 Baltic Way
7
7
Part of
2008 Baltic Way
Problems
(1)
Integer Equation
Source: Baltic Way 2008, Problem 7
11/23/2008
How many pairs
(
m
,
n
)
(m,n)
(
m
,
n
)
of positive integers with
m
<
n
m < n
m
<
n
fulfill the equation \frac {3}{2008} \equal{} \frac 1m \plus{} \frac 1n?
symmetry
number theory unsolved
number theory