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Poland - Second Round
1963 Poland - Second Round
3
3
Part of
1963 Poland - Second Round
Problems
(1)
NT system, x + y + z = 3, x^3 + y^3 + z^3 = 3
Source: Polish MO Second Round 1963 p3
8/31/2024
Solve the system of equations in integers
x
+
y
+
z
=
3
x + y + z = 3
x
+
y
+
z
=
3
x
3
+
y
3
+
z
3
=
3
x^3 + y^3 + z^3 = 3
x
3
+
y
3
+
z
3
=
3
number theory
system of equations
diophantine
Diophantine equation