On pythagorean triples modulo a prime
This paper is an exposition of the article entitled Pythagorean Triples Modulo a Prime by Bernard Moore and Joseph Straight which was published in the Pi Mu Epsilon journal [1]. It discusses the existence and number of solutions to the equation x2 +y2 z2 (mod p), where p is a prime greater than or e...
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oai:animorepository.dlsu.edu.ph:etd_bachelors-189082022-02-04T00:32:58Z On pythagorean triples modulo a prime Co, Shiela Aislinn S. This paper is an exposition of the article entitled Pythagorean Triples Modulo a Prime by Bernard Moore and Joseph Straight which was published in the Pi Mu Epsilon journal [1]. It discusses the existence and number of solutions to the equation x2 +y2 z2 (mod p), where p is a prime greater than or equal to 7 and x, y, and z are elements of the multiplicative group Z#p = f1 2 : : : p {u100000} 1g modulo p. A program was created to compute quadratic residues, siblings of c, distinct values of a and b for a given c to generate Pythagorean triple (a b c) (mod p), Pythagorean triples, quadratic residue, siblings, isosceles Pythagorean triples and number of non-equivalent solutions for prime p. 2016-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/18395 Bachelor's Theses English Animo Repository Pythagorean theorem Triples, Theory of Congruences and residues Health Mathematics |
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Pythagorean theorem Triples, Theory of Congruences and residues Health Mathematics |
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Pythagorean theorem Triples, Theory of Congruences and residues Health Mathematics Co, Shiela Aislinn S. On pythagorean triples modulo a prime |
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This paper is an exposition of the article entitled Pythagorean Triples Modulo a Prime by Bernard Moore and Joseph Straight which was published in the Pi Mu Epsilon journal [1]. It discusses the existence and number of solutions to the equation x2 +y2 z2 (mod p), where p is a prime greater than or equal to 7 and x, y, and z are elements of the multiplicative group Z#p = f1 2 : : : p {u100000} 1g modulo p. A program was created to compute quadratic residues, siblings of c, distinct values of a and b for a given c to generate Pythagorean triple (a b c) (mod p), Pythagorean triples, quadratic residue, siblings, isosceles Pythagorean triples and number of non-equivalent solutions for prime p. |
| format |
text |
| author |
Co, Shiela Aislinn S. |
| author_facet |
Co, Shiela Aislinn S. |
| author_sort |
Co, Shiela Aislinn S. |
| title |
On pythagorean triples modulo a prime |
| title_short |
On pythagorean triples modulo a prime |
| title_full |
On pythagorean triples modulo a prime |
| title_fullStr |
On pythagorean triples modulo a prime |
| title_full_unstemmed |
On pythagorean triples modulo a prime |
| title_sort |
on pythagorean triples modulo a prime |
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Animo Repository |
| publishDate |
2016 |
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https://animorepository.dlsu.edu.ph/etd_bachelors/18395 |
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