Number Theory

    

Enumeration of All Primitive Pythagorean Triples with Hypotenuse Less Than or Equal to N

Authors: Eduardo Calooy Roque

All primitive Pythagorean triples with hypotenuse less than or equal to N can be counted with the general formulas for generating sequences of Pythagorean triples ordered by $c-b$. The algorithm calculates the interval $(1,m)$ such that $c=N$ then $\nu$ from each $m$ is calculated to get the interval $(n_1,n_\nu)$ then $(m,n_\nu)=1$ is used for counting. It can be enumerated manually if $N$ is small but for large $N$ the algorithm must be implemented with any computer programming languages.

Comments: 4 Pages.

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Submission history

[v1] 2013-10-24 20:04:51

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