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Vietnam National Olympiad
1976 Vietnam National Olympiad
1
1
Part of
1976 Vietnam National Olympiad
Problems
(1)
all integer solutions to m^{m+n} = n^{12} and n^{m+n} = m^3
Source: Vietnamese MO (VMO) 1976 P1
8/20/2018
Find all integer solutions to
m
m
+
n
=
n
12
,
n
m
+
n
=
m
3
m^{m+n} = n^{12}, n^{m+n} = m^3
m
m
+
n
=
n
12
,
n
m
+
n
=
m
3
.
system of equations
number theory
Integer sequence
integer equation