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2024-IMOC
N2
11^n+2^n+6=m^3
11^n+2^n+6=m^3
Source: 2024IMOC
August 1, 2024
number theory
Problem Statement
Find all positive integers
(
m
,
n
)
(m,n)
(
m
,
n
)
such that
1
1
n
+
2
n
+
6
=
m
3
11^n+2^n+6=m^3
1
1
n
+
2
n
+
6
=
m
3
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