On the odd prime solutions of the Diophantine equation \(x^y + y^x = z^z\) (Q1722298)
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scientific article; zbMATH DE number 7021895
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the odd prime solutions of the Diophantine equation \(x^y + y^x = z^z\) |
scientific article; zbMATH DE number 7021895 |
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On the odd prime solutions of the Diophantine equation \(x^y + y^x = z^z\) (English)
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14 February 2019
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Summary: Using the elementary method and some properties of the least solution of Pell's equation, we prove that the equation \(x^y + y^x = z^z\) has no positive integer solutions (\(x, y, z\)) with \(x\) and \(y\) being odd primes.
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