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JBMO TST - Turkey
2014 JBMO TST - Turkey
3
m^6+5n^2=m+n^3
m^6+5n^2=m+n^3
Source: Turkey JBMO TST 2014 P3
June 21, 2014
number theory proposed
number theory
Problem Statement
Find all pairs
(
m
,
n
)
(m, n)
(
m
,
n
)
of positive integers satsifying
m
6
+
5
n
2
=
m
+
n
3
m^6+5n^2=m+n^3
m
6
+
5
n
2
=
m
+
n
3
.
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