May 17, 2017 · I'm looking for formulas or methods to find pythagorean triples. I only know one formula for calculating a pythagorean triple and that is euclid's which is: $$\\begin{align} …

Jun 15, 2016 · Explore related questions pythagorean-triples See similar questions with these tags.

Jul 6, 2019 · I have been reading about Pythagorean triples from the wiki page link here. It says that a pythagorean triple consists of 3 positive integer's $ a, b, c $ such that $ a^2 + b^2 = c^2 …

Aug 6, 2015 · I believe these questions are all asking different things, but: Are there infinitely many (integer) solutions to the pythagorean theorem? Is every positive integer part of a …

Mar 20, 2022 · The most referenced and accepted way of generating Pythagorean triples is by using Euclid's formula $\quad (A=m^2-k^2\quad B=2mk\quad C=m^2+k^2) \quad …

5 For example, the triple $ (12, 16, 20)$ has these exponents: $ (12^1, 4^2, 20^1)$ or $ (12^1, 2^4, 20^1)$ denoted by $ (1,2,1)$ or $ (1,4,1)$ Here are more triples (ignore simple (1,1,1) …

Apr 18, 2013 · This problem is giving me difficulty: Show that in any Pythagorean triple there exist at most a single perfect square So far I've been working with the equations for primitive …

Jul 25, 2024 · I think you might really enjoy this video by 3Blue1Brown about the connection between generating Pythagorean triples and multiplying Gaussian integers (complex numbers …

May 11, 2017 · Note that we are only interested in integral pythagorean triplets, we are given the hypotenuse $c$, how can I efficiently find the other two sides of the right angled triangle.

This seemingly generates a sequence of Pythagorean triples that I could not find used in any other formula. Its important to note that $12r^2$ is twice the area of Pythagorean triples that …