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Polish MO Finals
1980 Polish MO Finals
2
2
Part of
1980 Polish MO Finals
Problems
(1)
a^2 +b^2 +c^2 = 3abc NT
Source: Polish MO Finals 1980 p2
8/24/2024
Prove that for every
n
n
n
there exists a solution of the equation
a
2
+
b
2
+
c
2
=
3
a
b
c
a^2 +b^2 +c^2 = 3abc
a
2
+
b
2
+
c
2
=
3
ab
c
in natural numbers
a
,
b
,
c
a,b,c
a
,
b
,
c
greater than
n
n
n
.
number theory
diophantine
Diophantine equation