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2002 Turkey Junior National Olympiad
3
Turkey Junior Olympiad 2002, Part II - P3
Turkey Junior Olympiad 2002, Part II - P3
Source:
January 18, 2013
greatest common divisor
Problem Statement
Find all ordered positive integer pairs of
(
m
,
n
)
(m,n)
(
m
,
n
)
such that
2
n
ā
1
2^n-1
2
n
ā
1
divides
2
m
+
1
2^m+1
2
m
+
1
.
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