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Thailand TST Selection Test
2017 Thailand TSTST
4
3mk=3(m+3)^n+1
3mk=3(m+3)^n+1
Source: 2016 Thailand October Camp 1.4
February 26, 2022
number theory
Diophantine equation
Problem Statement
Suppose that
m
,
n
,
k
m, n, k
m
,
n
,
k
are positive integers satisfying
3
m
k
=
(
m
+
3
)
n
+
1.
3mk=(m+3)^n+1.
3
mk
=
(
m
+
3
)
n
+
1.
Prove that
k
k
k
is odd.
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