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2014 Paenza
3
CIMA 2014 Problem 3
CIMA 2014 Problem 3
Source:
August 23, 2014
algebra
polynomial
Vieta
college contests
Problem Statement
Find all
(
m
,
n
)
(m,n)
(
m
,
n
)
in
N
2
\mathbb{N}^2
N
2
such that
m
∣
n
2
+
1
m\mid n^2+1
m
∣
n
2
+
1
and
n
∣
m
2
+
1
n\mid m^2+1
n
∣
m
2
+
1
.
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