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2003 Korea Junior Math Olympiad
1
1
Part of
2003 Korea Junior Math Olympiad
Problems
(1)
2^2n+1 is not sum of four squares(not 0)
Source: 2003 Korea Junior Math Olympiad
6/28/2024
Show that for any non-negative integer
n
n
n
, the number
2
2
n
+
1
2^{2n+1}
2
2
n
+
1
cannot be expressed as a sum of four non-zero square numbers.
number theory
Squares
Integer