The Primitive-Solutions of Diophantine Equation x^2+pqy^2=z^2, for primes p,q
DOI:
https://doi.org/10.20956/j.v18i2.19018Keywords:
composite number, diophantine equation, prime number, primitive solutionAbstract
In this paper, we determine the primitive solutions of diophantine equations x^2+pqy^2=z^2, for positive integers x, y, z, and primes p,q. This work is based on the development of the previous results, namely using the solutions of the Diophantine equation x^2+y^2=z^2, and looking at characteristics of the solutions of the Diophantine equation x^2+3y^2=z^2 and x^2+9y^2=z^2.
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This work is licensed under a Creative Commons Attribution 4.0 International License.
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