On Diophantine equations of the form \(x^2+D=p^k\) (Q1214455)
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scientific article; zbMATH DE number 3467217
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Diophantine equations of the form \(x^2+D=p^k\) |
scientific article; zbMATH DE number 3467217 |
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On Diophantine equations of the form \(x^2+D=p^k\) (English)
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1974
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Summary: The main result is the following: Let \(D\equiv 3\pmod 8\) and \(p= (D + 1)/4\) be a prime \(\ge 5\); then the diophantine equation \(x^2+D=p^k\) has no solutions. A sketch of the proof was already given by the author in [C. R. Acad. Sci., Paris, Sér. A 274, 139--140 (1972; Zbl 0224.10017).
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0.8473570942878723
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0.8414165377616882
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