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On perfect powers that are sums of two Fibonacci numbers

Article ID Journal Published Year Pages File Type
8896866 Journal of Number Theory 2018 7 Pages PDF
Abstract
We study the equation Fn+Fm=yp, where Fn and Fm are respectively the n-th and m-th Fibonacci numbers and p≥2. We find all solutions under the assumption n≡m(mod2).
Keywords
11D6111B39Exponential equationFibonacci numbersprimarysecondary
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
On perfect powers that are sums of two Fibonacci numbers
Authors
Florian Luca, Vandita Patel,
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Journal of Number Theory
Journal: Journal of Number Theory
Related Categories
11D61
11B39
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Fibonacci numbers
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