MathDB
Problems
Contests
International Contests
Mediterranean Mathematics Olympiad
2002 Mediterranean Mathematics Olympiad
1
Mediterranean mathematical contest 2002 (1)
Mediterranean mathematical contest 2002 (1)
Source:
March 16, 2008
search
number theory unsolved
number theory
Problem Statement
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
)
.
Back to Problems
View on AoPS