On equations \((-1)^\alpha p^x+ (-1)^\beta (2^k(2p + 1))^y= z^2\) with Sophie Germain prime \(p\) (Q6596274)
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scientific article; zbMATH DE number 7904869
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On equations \((-1)^\alpha p^x+ (-1)^\beta (2^k(2p + 1))^y= z^2\) with Sophie Germain prime \(p\) |
scientific article; zbMATH DE number 7904869 |
Statements
On equations \((-1)^\alpha p^x+ (-1)^\beta (2^k(2p + 1))^y= z^2\) with Sophie Germain prime \(p\) (English)
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2 September 2024
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Catalan equation
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exponential Diophantine equation
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Legendre symbol
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Nagell-Ljunggren equation
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quadratic reciprocity law
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Sophie Germain prime
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