Solusi Primitif Persamaan Diophantine x^2+pqy^2=z^2 untuk bilangan-bilangan prima p dan q

Aswad Hariri Mangalaeng (Hasanuddin University)

JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI
Vol. 18 No. 2 (2022): JANUARY 2022

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.