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

  • 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

Abstract

In this manuscript, authors studied the Diophantine equation 143𝑎 + 665𝑏 = 𝑐2, where 𝑎,𝑏,𝑐 are non-negative integers, and proved that (𝑎, 𝑏, 𝑐) = (1,0,12) is the unique non-negative integer solution of this Diophantine equation.

Published
2025-07-15
How to Cite
THAKUR, Dinesh; KUMAR, Sunil. Solution of the Diophantine Equation 143a + 665b = c2. Journal of Advanced Research in Applied Mathematics and Statistics, [S.l.], v. 10, p. 5-7, july 2025. ISSN 2455-7021. Available at: <http://thejournalshouse.com/index.php/Journal-Maths-Stats/article/view/1571>. Date accessed: 27 july 2025.
Citation Formats
Issue
Vol 10 (2025): (Special Issue): Journal of Advanced Research in Applied Mathematics and Statistics
Section
Research Article