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Prove that there are no integers x, y, and z such that x^2 + y^2 + z^2 = 999.

Prove that there are no integers x, y, and z such that x^2 + y^2 + z^2 = 999.

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It is proven that there are no integers x, y, and z such that x^2 + y^2 + z^2 = 999. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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