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2014 Iran MO (2nd Round)
1
Equation n^{n^{n}}=m^{m}
Equation n^{n^{n}}=m^{m}
Source: Iran National Olympiad - 2014 Second Round - D2P1
May 2, 2014
number theory proposed
number theory
Problem Statement
Find all positive integers
(
m
,
n
)
(m,n)
(
m
,
n
)
such that
n
n
n
=
m
m
.
n^{n^{n}}=m^{m}.
n
n
n
=
m
m
.
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