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JBMO TST - Moldova
2002 Junior Balkan Team Selection Tests - Moldova
8
Number Theory
Number Theory
Source: Moldova JTST 2002
March 8, 2020
number theory
Problem Statement
Find all triplets (a, b, c) of positive integers so that
a
2
b
a^2b
a
2
b
,
b
2
c
b^2c
b
2
c
and
c
2
a
c^2a
c
2
a
devide
a
3
+
b
3
+
c
3
a^3+b^3+c^3
a
3
+
b
3
+
c
3
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