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On the Diophantine equation \(Cx^2+D=2y^q\)

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Publication:829778
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DOI10.1007/s11139-019-00165-wzbMath1484.11099OpenAlexW2969363145MaRDI QIDQ829778

Fadwa S. Abu Muriefah, Nejib Ghanmi

Publication date: 6 May 2021

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-019-00165-w

zbMATH Keywords

Lehmer pairFibonacci sequenceLucas sequenceDiophantine equationprimitive divisor


Mathematics Subject Classification ID

Computer solution of Diophantine equations (11Y50) Exponential Diophantine equations (11D61) Higher degree equations; Fermat's equation (11D41)


Related Items

A Lucas-Lehmer approach to generalised Lebesgue-Ramanujan-Nagell equations



Cites Work

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  • On the Diophantine equation \(x^ 2+a^ 2=2y^ p\).
  • Existence of primitive divisors of Lucas and Lehmer numbers
  • A short history of the Fibonacci and golden numbers with their applications
  • ON THE EXPONENTIAL DIOPHANTINE EQUATIONx2+p2m=2yn
  • On the Diophantine equation x2+q2m=2yp
  • ON THE DIOPHANTINE EQUATION x2 + C = 2yn
  • On the equation $y^m = P(x)$
  • Perfect Pell Powers
  • On the Diophantine Equation $Cx^2 + D = 2y^n$.
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