Solutions of the Diophantine Equation 1325𝒙 + 143𝒚 = z2

Authors

  • Jay kishore sahani Assistant Professor, Department of Mathematics, D A V P G College, Siwan, Jai Prakash University, Chapra, India.
  • Arvind Kumar Yadav Assistant Professor, Department of Mathematics, Raja Singh College, Siwan, Jai Prakash University, Chapra, Bihar, India.

Keywords:

Exponential Diophantine Equation; Congruence; Modulo; Catalan’s Conjecture.

Abstract

In this paper, authors have examined the Diophantine equation1325ð‘¥+ 143𑦠= ð‘§2, where ð‘¥,ð‘¦,𑧠are non-negative integers, for solving it into the set of non-negative integers. Authors have used famous Catalan’s Conjecture for this. Results of this paper indicate that this equation has a unique solution in the set of non-negative integers and this solution is given by (ð‘¥,ð‘¦,ð‘§) = (0,1,12).

Published

2022-07-20

Issue

Vol. 7 No. 3&4 (2022): Journal of Advanced Research in Applied Mathematics and Statistics

Section

Research Article