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In mathematics, a primitive Pythagorean triple is a set of three positive integers a, b, and c that satisfy the Pythagorean theorem a^2 + b^2 = c^2 and have no common factor greater than 1.
In geometry, primitive Pythagorean triples are used to construct right-angled triangles with integer side lengths, making them essential in geometric calculations and constructions.
In number theory, primitive Pythagorean triples are of particular interest due to their unique properties and applications in various mathematical problems.
In mathematics, primitive Pythagorean triples are used in number theory and geometry to study integer solutions to the Pythagorean theorem a^2 + b^2 = c^2 where a, b, and c are integers. They are also used in cryptography and coding theory.
Physicists may encounter primitive Pythagorean triples in the study of wave phenomena, resonance, and other physical systems where integer solutions to the Pythagorean theorem are relevant.
In computer science, primitive Pythagorean triples can be used in algorithms for generating Pythagorean triples efficiently, as well as in applications related to computer graphics and computational geometry.