On the diophantine equations x2 + 74 = y5 and x2 + 86 = y5

DOI10.1017/S0017089500031293zbMath0847.11011OpenAlexW2945746287MaRDI QIDQ4875665

Maurice Mignotte, Benjamin M. M. de Weger

Publication date: 13 October 1996

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

Full work available at URL: https://doi.org/10.1017/s0017089500031293

zbMATH Keywords

diophantine equationsquintic fieldslower bound for linear forms in logarithmsquintic Thue equationsreduced upper boundsolution in positive integers

Mathematics Subject Classification ID

Higher degree equations; Fermat's equation (11D41)

Related Items (15)

ON THE DIOPHANTINE EQUATIONx²+d^{2l+ 1}=yⁿ ⋮ On the Diophantine equation \(x^2+5^a\cdot 11^b=y^n\) ⋮ AN APPLICATION OF THE MODULAR METHOD AND THE SYMPLECTIC ARGUMENT TO A LEBESGUE–NAGELL EQUATION ⋮ On the Diophantine equation \(x^2+3^a41^b=y^n\) ⋮ On the Diophantine Equation x 2 + 2 α 5 β 13 γ  = y n ⋮ On Lebesgue–Ramanujan–Nagell Type Equations ⋮ On the solutions of certain Lebesgue-Ramanujan-Nagell equations ⋮ On the Diophantine equation |𝑎𝑥ⁿ-𝑏𝑦ⁿ|=1 ⋮ Unnamed Item ⋮ Solutions of some generalized Ramanujan-Nagell equations ⋮ Solving Thue equations without the full unit group ⋮ A Lucas-Lehmer approach to generalised Lebesgue-Ramanujan-Nagell equations ⋮ ON THE DIOPHANTINE EQUATION x² + 2^a · 5^b = yⁿ ⋮ Unnamed Item ⋮ On the diophantine equation x2+5a·pb=yn

Uses Software

• KANT/KASH

Cites Work

• On the practical solution of the Thue equation
• Logarithmic forms and group varieties.

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