Solutions of the Exponential Diophantine Equations (2^2m+1-1)+ 19ⁿ+31^p + 37^q = z² and (2^2m+1-1)+19ⁿ+31^p+37^q+43^r = z²

Hari Kishan, Surya Gautam and Megha Rani

Several studies have discussed the non-linear exponential Diophantine equations. In this paper, two exponential Diophantine equations, given by (2^2m+1-1)+ 19ⁿ+31^p+37^q = z² and (2^2m+1-1)+19ⁿ+31^p+37^q+43^r = z² have been discussed. Their whole number solutions have been discussed.

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