On the Diophantine equation \(x^2+5^m=y^n\) (Q1039654)
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scientific article; zbMATH DE number 5636956
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Diophantine equation \(x^2+5^m=y^n\) |
scientific article; zbMATH DE number 5636956 |
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On the Diophantine equation \(x^2+5^m=y^n\) (English)
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23 November 2009
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The author proves the following theorem: The equation \(x^2+5^m=y^n\), \(n>2\), \(m>0\) has no positive integer solutions when \(2\nmid m\), nor when \(2|m\) under the additional condition \((x,y)=1\).
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exponential diophantine equation
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