On The Exponential Diophantine Equation (72m )+(6(r+1)+1)n=ω2

Sudhanshu Aggarwal and Sanjay Kumar
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Sudhanshu Aggarwal: Assistant Professor, Department of Mathematics, National Post Graduate College, Barhalganj, Gorakhpur-273402, U.P., India
Sanjay Kumar: Associate Professor, Department of Mathematics, M. S. College, Saharanpur-247001, U.P., India

International Journal of Research and Scientific Innovation, 2021, vol. 8, issue 4, 58-60

Abstract: Diophantine equations are those equations of theory of numbers which are to be solved in integers. The class of Diophantine equations is classified in two categories, one is linear Diophantine equations and the other one is non-linear Diophantine equations. Both categories of these equations are very important in theory of numbers and have many important applications in solving the puzzle problems. In the present paper, author discussed the existence of the solution of exponential Diophantine equation (72m )+(6(r+1)+1)n=ω2, where m,n,r,ω are whole numbers.

Date: 2021
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