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Mediterranean Mathematics Olympiad
2002 Mediterranean Mathematics Olympiad
1
1
Part of
2002 Mediterranean Mathematics Olympiad
Problems
(1)
Mediterranean mathematical contest 2002 (1)
Source:
3/16/2008
Find all natural numbers
x
,
y
x,y
x
,
y
such that
y
∣
(
x
2
+
1
)
y| (x^{2}+1)
y
∣
(
x
2
+
1
)
and
x
2
∣
(
y
3
+
1
)
x^{2}| (y^{3}+1)
x
2
∣
(
y
3
+
1
)
.
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