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Akdeniz University MO
1999 Akdeniz University MO
2
number theory
number theory
Source:
January 31, 2016
number theory
Problem Statement
Prove that, we can't find positive numbers
m
m
m
and
n
n
n
such that,
m
2
+
(
m
+
1
)
2
=
n
4
+
(
n
+
1
)
4
m^2+(m+1)^2=n^4+(n+1)^4
m
2
+
(
m
+
1
)
2
=
n
4
+
(
n
+
1
)
4
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