On the diophantine equation \(1+2^ a=3^ b\,7^ c+2^ d\,3^ e7^ f\) (Q801959)
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scientific article; zbMATH DE number 3880798
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the diophantine equation \(1+2^ a=3^ b\,7^ c+2^ d\,3^ e7^ f\) |
scientific article; zbMATH DE number 3880798 |
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On the diophantine equation \(1+2^ a=3^ b\,7^ c+2^ d\,3^ e7^ f\) (English)
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1985
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The title equation with a,b,c,d,e and f non-negative integers is solved. The related equations \(1+3^ a=2^ b 7^ c+2^ d 3^ e 7^ f\) and \(1+7^ a=2^ b 3^ c+2^ d 3^ e 7^ f\) are also solved. This work is related to and extends recent work of \textit{L. L. Foster} and \textit{J. L. Brenner} [Pac. J. Math. 101, 263-301 (1982; Zbl 0447.10021)] and the author [see i.e. Math. Comput. 44, 267-278 (1985), Math. Stud. 48(1984), 134-138 (1980; Zbl 0548.10013)].
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exponential diophantine equation
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