1997 JBMO Problems/Problem 5

Problem

Let $n_1$ , $n_2$ , $\ldots$ , $n_{1998}$ be positive integers such that $n_1^2 + n_2^2 + \cdots + n_{1997}^2 = n_{1998}^2.$ Show that at least two of the numbers are even.

1997 JBMO (Problems • Resources)
Preceded by Problem 4	Followed by Last Problem
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1997 JBMO Problems/Problem 5

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