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We give parametric solutions, and thus show that the two Diophantine equations 2A6 + B6 = 2C6 ± D3 have infinitely many nontrivial and primitive solutions in positive integers (A, B, C, D).
- Diophantine equation
- Diophantine equation 2A6 + B6 = 2C6 + D3
- Diophantine equation 2A6 + B6 = 2C6 − D3
- Equal sums of higher powers
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Cite this paper
Kumar Jena, S. (2014). On two Diophantine equations 2A6 + B6 = 2C6 ± D3. Notes on Number Theory and Discrete Mathematics, 20(2), 29-34.