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IMAR Test 2018 P4

Source: IMAR Test 2018 P4

April 21, 2021
number theoryromaniaPerfect Squares

Problem Statement

Prove that every non-negative integer nn is expressible in the form n=t2+u2+v2+w2n=t^2+u^2+v^2+w^2, where t,u,v,wt,u,v,w are integers such that t+u+v+wt+u+v+w is a perfect square.
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