On the Diophantine equation \(L_n-L_m = 2\cdot 3^a\) (Q2338602)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Diophantine equation \(L_n-L_m = 2\cdot 3^a\) |
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On the Diophantine equation \(L_n-L_m = 2\cdot 3^a\) (English)
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21 November 2019
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Let \(L_{{\kern 1pt} k} \) be the Lucas numbers. The author solved the Diophantine equation \(L_{n} -L_{m} =2\cdot 3^{{\kern 1pt} a} \) for nonnegative integers \(n,m,a;\; \, n>m\). The solutions for \((n,m,a)\) are the triplets \((3,0,0),(2,1,0),(4,1,1),(7,5,2),(8,7,2)\).
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Diophantine equation
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lower bounds
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logarithmic method
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