The Diophantine equation \(X^3+1=DY^2\) (Q2749255)
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scientific article; zbMATH DE number 1663903
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Diophantine equation \(X^3+1=DY^2\) |
scientific article; zbMATH DE number 1663903 |
Statements
21 October 2001
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cubic Diophantine equation
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0.9711324
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0.97067165
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0.9631109
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The Diophantine equation \(X^3+1=DY^2\) (English)
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Let \(A=\{19,21,26,30,43,61,62,67,70,73,74,77,78,79,93,95,97\}\). Using an elementary method, the authors prove that if \(D\in A\), then the Diophantine equation \(X^3+1=DY^2\) has no integral solutions with \(Y\neq 0\).
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