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

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

Jurnal Matematika, Statistika dan Komputasi · Vol. 18 No. 2 (2022) · hlm. 308–314

DOI
10.20956/j.v18i2.19018
ISSN
2614-8811, 1858-1382
Terbit
2022-01-01
Penerbit
Department of Mathematics, Hasanuddin University
Bahasa
en
Lisensi
creativecommons.org/licenses/by/4.0

Abstrak

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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  • Hasanuddin University
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Rekan penulisOrganisasiArtikel bersama
Jusmawati MassalesseHasanuddin University1
Naimah ArisHasanuddin University1

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Sumber metadata: OAI-PMH (metadata jurnal) https://journal.unhas.ac.id/index.php/jmsk/oai, pertama di-harvest 5 Nov 2026, terakhir terlihat 8 Nov 2026.
Metadata asli (oai_dc) 
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	<dc:title xml:lang="en">The Primitive-Solutions of Diophantine Equation x^2+pqy^2=z^2, for primes p,q</dc:title>
	<dc:title xml:lang="id">Solusi Primitif Persamaan Diophantine x^2+pqy^2=z^2 untuk bilangan-bilangan prima p dan q</dc:title>
	<dc:creator xml:lang="en">Mangalaeng, Aswad Hariri</dc:creator>
	<dc:subject xml:lang="en">composite number</dc:subject>
	<dc:subject xml:lang="en">diophantine equation</dc:subject>
	<dc:subject xml:lang="en">prime number</dc:subject>
	<dc:subject xml:lang="en">primitive solution</dc:subject>
	<dc:description xml:lang="en">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.</dc:description>
	<dc:publisher xml:lang="en">Department of Mathematics, Hasanuddin University</dc:publisher>
	<dc:date>2022-01-01</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://journal.unhas.ac.id/index.php/jmsk/article/view/19018</dc:identifier>
	<dc:identifier>10.20956/j.v18i2.19018</dc:identifier>
	<dc:source xml:lang="en">Jurnal Matematika, Statistika dan Komputasi; Vol. 18 No. 2 (2022): JANUARY 2022; 308-314</dc:source>
	<dc:source>2614-8811</dc:source>
	<dc:source>1858-1382</dc:source>
	<dc:language>en</dc:language>
	<dc:relation>https://journal.unhas.ac.id/index.php/jmsk/article/view/19018/7619</dc:relation>
	<dc:relation>10.20956/j.v18i2.19018.g7619</dc:relation>
	<dc:rights xml:lang="en">Copyright (c) 2021 Author and publisher</dc:rights>
	<dc:rights xml:lang="en">https://creativecommons.org/licenses/by/4.0</dc:rights>
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