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 Diophantine equations are widely used to represent the many puzzle problems in mathematical form. In the present paper, authors studied the exponential Diophantine equation (132m )+(6(r+1)+1)n=ρ2, where m,n,r,ρ are whole numbers, for determining its solution in whole number. Results show that the exponential Diophantine equation (132m )+(6(r+1)+1)n=ρ2, where m,n,r,ρ are whole numbers, has no solution in whole number.
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, <
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Sudhanshu Aggarwal, Sanjay Kumar, "On The Exponential Diophantine Equation (132m )+(6(r+1)+1)n=ρ2" International Journal of Latest Technology in Engineering, Management & Applied Science-IJLTEMAS vol.10 issue 03, March 2021, pp.01-03 URL: www.ijltemas.in/DigitalLibrary/Vol.10Issue3/01-03.pdf
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