On the greatest prime factor of Markov pairs (Q879775)

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On the greatest prime factor of Markov pairs
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    On the greatest prime factor of Markov pairs (English)
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    9 May 2007
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    Markov pairs are pairs of coordinates from some solution \((x,y,z)\) in positive integers of the equation \[ x^2+y^2+z^2=3xyz. \] The authors prove that the greatest prime factor of \(xy\) tends to infinity with \(\max(x,y,z)\).
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    Markov pairs
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    greatest prime factor
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