Solution of the Diophantine Equation 143a + 665b = c2

Authors

  • Dinesh Thakur Assistant Professor, Department of Mathematics, Bahra University, Waknaghat, Solan, Himachal Pradesh, India
  • Sunil Kumar Research Scholar, Department of Mathematics, Dr B R Ambedkar National Institute of Technology, Jalandhar, Punjab, India

Keywords:

Catalan’s Conjecture; Equation; Solution

Abstract

In this manuscript, authors studied the Diophantine equation 143ð‘Ž + 665ð‘ = ð‘2, where ð‘Ž,ð‘,ð‘ are non-negative integers, and proved that (ð‘Ž, ð‘, ð‘) = (1,0,12) is the unique non-negative integer solution of this Diophantine equation.

Published

2025-07-15

Issue

Vol. 10 (2025): (Special Issue): Journal of Advanced Research in Applied Mathematics and Statistics

Section

Research Article