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A study on solution of two non-linear exponential Diophantine equations \(11^x + 9^y = z^2\) and \(7^x + 17^y = z^2\) in non-negative integer - MaRDI portal

A study on solution of two non-linear exponential Diophantine equations \(11^x + 9^y = z^2\) and \(7^x + 17^y = z^2\) in non-negative integer (Q6665865)

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scientific article; zbMATH DE number 7969891
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English
A study on solution of two non-linear exponential Diophantine equations \(11^x + 9^y = z^2\) and \(7^x + 17^y = z^2\) in non-negative integer
scientific article; zbMATH DE number 7969891

    Statements

    A study on solution of two non-linear exponential Diophantine equations \(11^x + 9^y = z^2\) and \(7^x + 17^y = z^2\) in non-negative integer (English)
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    17 January 2025
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    number theory
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    congruence
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    quadratic reciprocity and Diophantine equation
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