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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Zhang, Zhongfeng and Togbé, Alain 2016. On two Diophantine equations of Ramanujan-Nagell type. Glasnik Matematicki, Vol. 51, Issue. 1, p. 17.


    BÉRCZES, ATTILA and PINK, ISTVÁN 2012. ON THE DIOPHANTINE EQUATION x2 + d2l + 1 = yn. Glasgow Mathematical Journal, Vol. 54, Issue. 02, p. 415.


    ABU MURIEFAH, FADWA S. LUCA, FLORIAN and TOGBÉ, ALAIN 2008. ON THE DIOPHANTINE EQUATION x + 5 13 = y. Glasgow Mathematical Journal, Vol. 50, Issue. 01,


    LUCA, FLORIAN and TOGBÉ, ALAIN 2008. ON THE DIOPHANTINE EQUATION x2+ 2a· 5b= yn. International Journal of Number Theory, Vol. 04, Issue. 06, p. 973.


    Saradha, N. and Srinivasan, Anitha 2006. Solutions of some generalized Ramanujan-Nagell equations. Indagationes Mathematicae, Vol. 17, Issue. 1, p. 103.


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

  • Maurice Mignotte (a1) and Benjamin M. M. de Weger (a2)
  • DOI: http://dx.doi.org/10.1017/S0017089500031293
  • Published online: 01 May 2009
Abstract
Abstract

J. H. E. Cohn solved the diophantine equations x2 + 74 = yn and x2 + 86 = yn, with the condition 5 ∤ n, by more or less elementary methods. We complete this work by solving these equations for 5 | n, by less elementary methods.

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3.N. Tzanakis and B. M. M. de Weger , On the practical solution of the Thue equation, J. Number Theory 31 (1989), 99132.

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Glasgow Mathematical Journal
  • ISSN: 0017-0895
  • EISSN: 1469-509X
  • URL: /core/journals/glasgow-mathematical-journal
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