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TOT 547 1997 Autumn J O2 x^2 + y^2 - z^2 = 1997 NT

Source:

September 11, 2024
number theoryDiophantine equationdiophantine

Problem Statement

Prove that the equation x2+y2āˆ’z2=1997x^2 + y^2 - z^2 = 1997 has infinitely many solutions in integers xx, yy and zz.
(N Vassiliev)
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