The diophantine equation \(x^2+3^m=y^n\) (Q1392720)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The diophantine equation \(x^2+3^m=y^n\) |
scientific article; zbMATH DE number 1180655
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The diophantine equation \(x^2+3^m=y^n\) |
scientific article; zbMATH DE number 1180655 |
Statements
The diophantine equation \(x^2+3^m=y^n\) (English)
0 references
4 February 1999
0 references
The diophantine equation of the title, \(m\) odd, \(n\geq 3\), has only one solution in positive integers \(x,y,m\) with the unique solution given by \(m=5+6M\), \(x= 10.3^{3M}\), \(y=7.3^{2M}\), and \(n=3\). The same equation with \(m\) even is treated in the paper reviewed below (see Zbl 0905.11018).
0 references
higher degree diophantine equations
0 references
exponential equations
0 references
