On multiple primitive pythagorean triplets

This paper revisits the topic of Pythagorean triples with a different perspective. While numerous methods were explored to generate Pythagorean triples, none of them is whole in terms of producing all of the triples without repetitions. Indeed, many current methods focus on producing primitive tripl...

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Main Authors: Bhanotar, Shailesh A., Kaabar, Mohammed K. A.
Format: Article
Published: Palestine Polytechnic University 2022
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Online Access:http://eprints.um.edu.my/43950/
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spelling my.um.eprints.439502023-11-30T08:18:40Z http://eprints.um.edu.my/43950/ On multiple primitive pythagorean triplets Bhanotar, Shailesh A. Kaabar, Mohammed K. A. QA Mathematics This paper revisits the topic of Pythagorean triples with a different perspective. While numerous methods were explored to generate Pythagorean triples, none of them is whole in terms of producing all of the triples without repetitions. Indeed, many current methods focus on producing primitive triples but there does not exist multiple triples. We explores a new formation of Primitive Pythagorean triple for an even and odd shorter leg, which helps to investigate multiple primitive triples and some conjectures based on graphical representation. We genuinely hope researchers, students, and instructors of mathematics will enjoy this article and search for new directions. © Palestine Polytechnic University-PPU 2022. Palestine Polytechnic University 2022 Article PeerReviewed Bhanotar, Shailesh A. and Kaabar, Mohammed K. A. (2022) On multiple primitive pythagorean triplets. Palestine Journal of Mathematics, 11 (4). 119 -129. ISSN 22195688,
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic QA Mathematics
spellingShingle QA Mathematics
Bhanotar, Shailesh A.
Kaabar, Mohammed K. A.
On multiple primitive pythagorean triplets
description This paper revisits the topic of Pythagorean triples with a different perspective. While numerous methods were explored to generate Pythagorean triples, none of them is whole in terms of producing all of the triples without repetitions. Indeed, many current methods focus on producing primitive triples but there does not exist multiple triples. We explores a new formation of Primitive Pythagorean triple for an even and odd shorter leg, which helps to investigate multiple primitive triples and some conjectures based on graphical representation. We genuinely hope researchers, students, and instructors of mathematics will enjoy this article and search for new directions. © Palestine Polytechnic University-PPU 2022.
format Article
author Bhanotar, Shailesh A.
Kaabar, Mohammed K. A.
author_facet Bhanotar, Shailesh A.
Kaabar, Mohammed K. A.
author_sort Bhanotar, Shailesh A.
title On multiple primitive pythagorean triplets
title_short On multiple primitive pythagorean triplets
title_full On multiple primitive pythagorean triplets
title_fullStr On multiple primitive pythagorean triplets
title_full_unstemmed On multiple primitive pythagorean triplets
title_sort on multiple primitive pythagorean triplets
publisher Palestine Polytechnic University
publishDate 2022
url http://eprints.um.edu.my/43950/
_version_ 1784511887494348800
score 13.201949