On the non-linear diophantine equation\(379^x + 397^y = z^2\)

Open Journal of Mathematical Sciences

Sudhanshu Aggarwal¹  Nidhi Sharma² 

[1] Department of Mathematics, National P. G. College, Barhalganj, Gorakhpur-273402, U. P., India;Indian Institute of Technology Roorkee-247667, U. K., India.;

关键词: prime number;    diophantine equation;    solution;   

DOI  :  10.30538/oms2020.0129

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown