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Belgium Contests
Flanders Math Olympiad
2005 Flanders Math Olympiad
3
3
Part of
2005 Flanders Math Olympiad
Problems
(1)
2005^2
Source: Flanders MO
4/20/2005
Prove that
200
5
2
2005^2
200
5
2
can be written in at least
4
4
4
ways as the sum of 2 perfect (non-zero) squares.
geometry
complex numbers
number theory
prime numbers
number theory proposed