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Official Ukraine Selection Cycle
Ukraine Team Selection Test
2012 Ukraine Team Selection Test
7
7
Part of
2012 Ukraine Team Selection Test
Problems
(1)
2 (x^3 - x) = 5 (y^3 - y) relative prime diophantine
Source: Ukraine TST 2012 p7
4/30/2020
Find all pairs of relatively prime integers
(
x
,
y
)
(x, y)
(
x
,
y
)
that satisfy equality
2
(
x
3
−
x
)
=
5
(
y
3
−
y
)
2 (x^3 - x) = 5 (y^3 - y)
2
(
x
3
−
x
)
=
5
(
y
3
−
y
)
.
relatively prime
number theory
Diophantine equation