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On the diophantine equation \(1+p^ a=2^ b+2^ c\,p^ d\) - MaRDI portal

On the diophantine equation \(1+p^ a=2^ b+2^ c\,p^ d\) (Q1073823)

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scientific article; zbMATH DE number 3946219
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English
On the diophantine equation \(1+p^ a=2^ b+2^ c\,p^ d\)
scientific article; zbMATH DE number 3946219

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    On the diophantine equation \(1+p^ a=2^ b+2^ c\,p^ d\) (English)
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    1985
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    The exponential diophantine equation \(1+p^ a=2^ b+2^ c p^ d\), where a,b,c,d are nonnegative integers and p is an odd prime, is studied. All solutions to the equation are found when \(p\leq 499\). This work extends earlier work of the authors and J. L. Brenner.
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    exponential diophantine equation
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