On the non-linear diophantine equation \({\boldsymbol{379}}^{\boldsymbol{x}}\boldsymbol{+}{\boldsymbol{397}}^{\boldsymbol{y}}\boldsymbol{=}{\boldsymbol{z}}^{\boldsymbol{2}}\)
- 30 November 2020
- journal article
- Published by Ptolemy Scientific Research Press in Open Journal of Mathematical Sciences
- Vol. 4 (1), 397-399
- https://doi.org/10.30538/oms2020.0129
Abstract
In this article, authors discussed the existence of solution of non-linear diophantine equation \({379}^x+{397}^y=z^2,\) where \(x,y,z\) are non-negative integers. Results show that the considered non-linear diophantine equation has no non-negative integer solution.