Solution Of the Diophantine Equation 143^x+85^y=z^2

Authors

  • Sudhanshu Aggarwal
  • Chetan Swarup
  • Deepak Gupta
  • Satish Kumar

Keywords:

Catalan’s Conjecture, Equation, Solution.

Abstract

In this paper, authors studied the Diophantine equation 143 x+85y=z2 , where  x,y,z are non-negative integers. Authors proved that (x,y,z)=(1,0,12)  is the unique non-negative integer solution of this Diophantine equation.

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Published

2023-02-09

How to Cite

Sudhanshu Aggarwal, Chetan Swarup, Deepak Gupta, & Satish Kumar. (2023). Solution Of the Diophantine Equation 143^x+85^y=z^2. International Journal of Progressive Research in Science and Engineering, 4(02), 5–7. Retrieved from https://journal.ijprse.com/index.php/ijprse/article/view/784

Issue

Vol. 4 No. 02 (2023): February

Section

Articles

License

Copyright (c) 2023 Sudhanshu Aggarwal, Chetan Swarup, Deepak Kumar, Satish Kumar

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.