The Primitive-Solutions of Diophantine Equation x^2+pqy^2=z^2, for primes p,q

Authors

DOI:

https://doi.org/10.20956/j.v18i2.19018

Keywords:

composite number, diophantine equation, prime number, primitive solution

Abstract

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.

Author Biography

Aswad Hariri Mangalaeng, Hasanuddin University

Education:

S1 Mathematics, Hasanuddin University (Graduated: 2019)

References

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Published

2022-01-01

How to Cite

Mangalaeng, A. H. (2022). The Primitive-Solutions of Diophantine Equation x^2+pqy^2=z^2, for primes p,q. Jurnal Matematika, Statistika Dan Komputasi, 18(2), 308–314. https://doi.org/10.20956/j.v18i2.19018

Issue

Vol. 18 No. 2 (2022): JANUARY 2022

Section

Research Articles

License

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This work is licensed under a Creative Commons Attribution 4.0 International License.

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

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