ON THE DIOPHANTINE EQUATION x2 + C = 2yn

DOI10.1142/S1793042109002572zbMath1233.11037OpenAlexW1689036938MaRDI QIDQ3644245

Florian Luca, Fadwa S. Abu Muriefah, Samir Siksek, Szabolcs Tengely

Publication date: 3 November 2009

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042109002572

zbMATH Keywords

exponential Diophantine equationsprimitive divisors

Mathematics Subject Classification ID

Computer solution of Diophantine equations (11Y50) Cubic and quartic extensions (11R16) Exponential Diophantine equations (11D61) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (8)

ON THE DIOPHANTINE EQUATIONx²+d^{2l+ 1}=yⁿ ⋮ On the Diophantine equation \(Cx^2+D=2y^q\) ⋮ ON THE EXPONENTIAL DIOPHANTINE EQUATIONx²+p^2m=2yⁿ ⋮ On the Diophantine equation \(2^m + nx^2 = y^n\) ⋮ On Lebesgue–Ramanujan–Nagell Type Equations ⋮ On the solutions of certain Lebesgue-Ramanujan-Nagell equations ⋮ Perfect powers that are sums of squares of an arithmetic progression ⋮ A Lucas-Lehmer approach to generalised Lebesgue-Ramanujan-Nagell equations

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