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On the Diophantine equation \(nx^2+2^{2m}=y^n\)

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Publication:538172
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DOI10.1016/j.jnt.2011.02.014zbMath1216.11040OpenAlexW2317388404MaRDI QIDQ538172

Yongxing Wang, Ting-Ting Wang

Publication date: 23 May 2011

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2011.02.014


zbMATH Keywords

exponential Diophantine equationprimitive divisorLehmer number


Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)


Related Items (6)

Note on ``On the Diophantine equation \(nx^2+2^{2m}=y^n\) ⋮ On the Diophantine equation \(NX^2 + 2^L3^M = Y^N\) ⋮ On the Diophantine equation \(2^m + nx^2 = y^n\) ⋮ Unnamed Item ⋮ On the Diophantine equation \(cx^2+p^{2m}=4y^n\) ⋮ An upper bound for least solutions of the exponential Diophantine equation D1x2 - D2y2 = λkz



Cites Work

  • Unnamed Item
  • On the Diophantine equation \(px^2+q^{2m}=y^p\)
  • On the generalized Ramanujan-Nagell equation \(x^2+D=p^z\)
  • On Cohn's conjecture concerning the Diophantine equation \(x^2+2^m=y^n\)
  • Existence of primitive divisors of Lucas and Lehmer numbers
  • The Solution of 3y 2 ± 2 n = x 3
  • Primary cyclotomic units and a proof of Catalans conjecture
  • Primitive Divisors of Lucas and Lehmer Sequences


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