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IMO Shortlist
2019 IMO Shortlist
N2
Cubes and squares
Cubes and squares
Source: IMO 2019 SL N2
September 22, 2020
number theory
IMO Shortlist
IMO Shortlist 2019
Diophantine equation
Bounding
pen
Problem Statement
Find all triples
(
a
,
b
,
c
)
(a, b, c)
(
a
,
b
,
c
)
of positive integers such that
a
3
+
b
3
+
c
3
=
(
a
b
c
)
2
a^3 + b^3 + c^3 = (abc)^2
a
3
+
b
3
+
c
3
=
(
ab
c
)
2
.
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