A new proof of Ko Chao's theorem. (Q556532)
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scientific article; zbMATH DE number 2177644
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new proof of Ko Chao's theorem. |
scientific article; zbMATH DE number 2177644 |
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A new proof of Ko Chao's theorem. (English)
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21 June 2005
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In [Sci. Sin. 14, 457--460 (1965; Zbl 0163.04004)] \textit{Ko Chao (Ke Zhao)} proved that the equation \(x^m= y^2- 1\) has only the positive integer solution \((x,y,m)= (2,3,3)\) with \(\min(x,y,m)> 1\). This result verifies an important case of Catalan's conjecture. In the present paper, the author gives a new proof of the above-mentioned result.
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exponential Diophantine equation
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Baker's method
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