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2017 Kosovo Team Selection Test
1
2017 Kosovo TST Problem 1
2017 Kosovo TST Problem 1
Source:
March 19, 2017
number theory
Problem Statement
Find all positive integers
(
a
,
b
)
(a, b)
(
a
,
b
)
, such that
a
2
2
a
b
2
−
b
3
+
1
\frac{a^2}{2ab^2-b^3+1}
2
a
b
2
−
b
3
+
1
a
2
is also a positive integer.
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