The diophantine equation x 2 + 2 a · 17 b = y n

DOI10.1007/s10587-012-0056-zzbMath1265.11062OpenAlexW2006282742MaRDI QIDQ4898750

Su Gou, Ting-Ting Wang

Publication date: 2 January 2013

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10587-012-0056-z

zbMATH Keywords

Lucas numberexponential diophantine equationmodular approach

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)

Related Items (1)

Some exponential Diophantine equations. II: The equation \(x^2 - dy^2=k^z\) for even \(k\)

Cites Work

• On the Diophantine equation \(x^2= y^p+2^kz^p\)
• Lucas and Lehmer numbers without primitive divisor
• The diophantine equation \(x^ 2 + 2^ k = y^ n\)
• On Cohn's conjecture concerning the Diophantine equation \(x^2+2^m=y^n\)
• On the equation \(x^2 + 2^a \cdot 3^b = y^n\)
• Some exponential diophantine equations. I: The equation \(D_1x^2 - D_2y^2 = \lambda k^z\)
• Existence of primitive divisors of Lucas and Lehmer numbers
• On the Diophantine equation x²+ 2^α13^β= yⁿ
• ON THE DIOPHANTINE EQUATION x² + 2^a · 5^b = yⁿ
• On the generalized Ramanujan-Nagell equation I
• Ternary Diophantine Equations via Galois Representations and Modular Forms
• Primary cyclotomic units and a proof of Catalans conjecture
• Primitive Divisors of Lucas and Lehmer Sequences
• THE DIOPHANTINE EQUATIONS x³=Ny²±1

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