On the Diophantine equation \(X(X+1) (X+2) (X+3)= 6Y (Y+1) (Y+2) (Y+3)\) (Q5936396)
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scientific article; zbMATH DE number 1613298
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Diophantine equation \(X(X+1) (X+2) (X+3)= 6Y (Y+1) (Y+2) (Y+3)\) |
scientific article; zbMATH DE number 1613298 |
Statements
On the Diophantine equation \(X(X+1) (X+2) (X+3)= 6Y (Y+1) (Y+2) (Y+3)\) (English)
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8 December 2002
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It is proved that the only solution in positive integers of the equation in the title is \((X,Y) = (7,4)\). The solutions have been previously found if we replace 6 by 2, 3, 5 or 7 (references are given in this article).
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quartic Diophantine equation
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Pell equation
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