On the Diophantine equation x 2 + C= yn for C = 2 a 3 b

DOI10.1515/ms-2015-0159zbMath1389.11087OpenAlexW2508591240MaRDI QIDQ2826346

Diego Marques, Hemar Godinho, Alain S. Togbé

Publication date: 14 October 2016

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2015-0159

zbMATH Keywords

Diophantine equationprimitive divisor theorem

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)

Related Items (7)

Complete solution of the Diophantine Equation $x^{2}+5^{a}\cdot 11^{b}=y^{n}$ ⋮ On the diophantine equation $x^2+2^a3^b73^c=y^n $ ⋮ On the Diophantine equation \(x^2+3^a41^b=y^n\) ⋮ On Lebesgue–Ramanujan–Nagell Type Equations ⋮ On the solutions of certain Lebesgue-Ramanujan-Nagell equations ⋮ A GENERALIZATION OF THE RAMANUJAN–NAGELL EQUATION ⋮ SOLUTIONS TO A LEBESGUE–NAGELL EQUATION

Uses Software

• Magma

Cites Work

• On the Diophantine equation \(x^2+5^a\cdot 11^b=y^n\)
• On Cohn's conjecture concerning the Diophantine equation \(x^2+2^m=y^n\)
• On the diophantine equation \(x^ 2+2^ k=y^ n\)
• The diophantine equation \(x^2+3^m=y^n\)
• On the equation \(x^2 + 2^a \cdot 3^b = y^n\)
• An exponential diophantine equation
• On the Lebesgue–Nagell equation
• ON THE DIOPHANTINE EQUATION x² + 2^a · 5^b = yⁿ
• On a diophantine equation
• On an diophantine equation

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