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2007 Bosnia Herzegovina Team Selection Test
2
Diophantine equation
Diophantine equation
Source: Bosnia and Herzegovina TST 2007 day 1 problem 2
May 13, 2014
number theory unsolved
number theory
Problem Statement
Find all pairs of integers
(
x
,
y
)
(x,y)
(
x
,
y
)
such that
x
(
x
+
2
)
=
y
2
(
y
2
+
1
)
x(x+2)=y^2(y^2+1)
x
(
x
+
2
)
=
y
2
(
y
2
+
1
)
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