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Junior Balkan MO
2001 Junior Balkan MO
1
solve a^3+b^3+c^3=2001 in positive integers
solve a^3+b^3+c^3=2001 in positive integers
Source: JBMO 2001, Problem 1
October 30, 2005
geometry
modular arithmetic
Problem Statement
Solve the equation
a
3
+
b
3
+
c
3
=
2001
a^3+b^3+c^3=2001
a
3
+
b
3
+
c
3
=
2001
in positive integers. Mircea Becheanu, Romania
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