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Junior Balkan MO
2001 Junior Balkan MO
1
1
Part of
2001 Junior Balkan MO
Problems
(1)
solve a^3+b^3+c^3=2001 in positive integers
Source: JBMO 2001, Problem 1
10/30/2005
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
geometry
modular arithmetic