On the problem of all equal positive odd number solutions of the Erdős guess (Q2732416)
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scientific article; zbMATH DE number 1623659
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the problem of all equal positive odd number solutions of the Erdős guess |
scientific article; zbMATH DE number 1623659 |
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2000
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exponential Diophantine equation
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Erdős conjecture
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0.88646054
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On the problem of all equal positive odd number solutions of the Erdős guess (English)
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Let \(k\) be a positive integer with \(k> 1\). In this paper the author gives some positive integer solutions \((x_1,x_2,\dots, x_k, z)\) of the equation \(x^{x_1}_1 x^{x_2}_2\cdots x^{x_k}_k= z^z\) with \(x_1= x_2=\cdots= x_k\) and \(z\) is odd.
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