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1
Equation in natural numbers.
Equation in natural numbers.
Source: Greek IMO TST 2013,Pr.1
August 16, 2014
number theory proposed
number theory
Problem Statement
Find all pairs of non-negative integers
(
m
,
n
)
(m,n)
(
m
,
n
)
satisfying
n
(
n
+
2
)
4
=
m
4
+
m
2
−
m
+
1
\frac{n(n+2)}{4}=m^4+m^2-m+1
4
n
(
n
+
2
)
=
m
4
+
m
2
−
m
+
1
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