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Turkey MO (2nd round)
2005 Turkey MO (2nd round)
4
4
Part of
2005 Turkey MO (2nd round)
Problems
(1)
5^m + 7^n=k^3
Source:
11/1/2010
Find all triples of nonnegative integers
(
m
,
n
,
k
)
(m,n,k)
(
m
,
n
,
k
)
satisfying
5
m
+
7
n
=
k
3
5^m+7^n=k^3
5
m
+
7
n
=
k
3
.
number theory proposed
number theory