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equation with 4 variables

Source: P4 : francophone math olympiad junior 2022

May 23, 2022
number theory

Problem Statement

find the smallest integer n≥1n\geq1 such that the equation : a2+b2+c2−nd2=0a^2+b^2+c^2-nd^2=0 has (0,0,0,0)(0,0,0,0) as unique solution .
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