1Associate Professor, PG and Research Department of Mathematics, Cauvery College for Women (Autonomous), Affiliated to Bharathidasan University, Tiruchirappalli, Tamil Nadu, India
2Research Scholar, PG and Research Department of Mathematics, Cauvery College for Women (Autonomous), Affiliated to Bharathidasan University, Tiruchirappalli, Tamil Nadu, India
*E-mail : janakikarun@rediffmail.com
Online Published on 19 June, 2024.
This article substantiates that the unique solution of the non-linear Exponential Diophantine equation of the form 63r + Ks = l2, K being Krishnamurthy number 145,40585 that meets the criteria K ≡ 5(mod 20) is (r,s,l) = (1, 0, 8). In this equation r,s,l are non-negative integers.
Exponential Diophantine Equation, Krishnamurthy number, Congruence, Integral Solution
