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1998 Romania National Olympiad
2
n + k^2 is perfect square - 1998 Romania NMO VII p2
n + k^2 is perfect square - 1998 Romania NMO VII p2
Source:
August 14, 2024
number theory
Perfect Square
Problem Statement
Show that there is no positive integer
n
n
n
such that
n
+
k
2
n + k^2
n
+
k
2
is a perfect square for at least
n
n
n
positive integer values of
k
k
k
.
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