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Rioplatense Mathematical Olympiad, Level 3
1992 Rioplatense Mathematical Olympiad, Level 3
2
2^n= a^2 + b^2 + c^2 + d^2
2^n= a^2 + b^2 + c^2 + d^2
Source: II - Rioplatense 1992 L3 P2
September 19, 2022
number theory
diophantine
Diophantine equation
Problem Statement
Determine the integers
0
≤
a
≤
b
≤
c
≤
d
0 \le a \le b \le c \le d
0
≤
a
≤
b
≤
c
≤
d
such that:
2
n
=
a
2
+
b
2
+
c
2
+
d
2
.
2^n= a^2 + b^2 + c^2 + d^2.
2
n
=
a
2
+
b
2
+
c
2
+
d
2
.
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