List questions from pythagorean-triples | MathQA

Prove that the integers solutions to $x^4-2y^2=1$ are only $(1,0)$ and $(-1,0)$

Published on 15 Dec 2022 - 9:05

Prove that N is a perfect square

Published on 24 Dec 2022 - 10:10

Finding an example of a Pythagorean triple, such that $\gcd(x,y,z)=1$ but $\gcd(x,z)>1$, $\gcd(x,y)>1$, and $\gcd(y,z)>1$

Published on 27 Dec 2022 - 22:54

Distance from a right angle to a hypotenuse.

Published on 30 Dec 2022 - 1:19

Why can’t Pythagorean triples of this form exist, $\{a, b, c\}$, $\{2a, d, c\}$?

Published on 30 Dec 2022 - 16:40

Show that there is no right triangle whose legs are rational numbers and whose hypotenuse is $\sqrt{2022}$.

Published on 03 Jan 2023 - 10:05

Parametrizations of $ x^4+y^4+z^4=9t^2 $ integer solutions

Published on 19 Jan 2023 - 5:16

Why can't a Pythagorean triple triangle have an odd area?

Published on 28 Jan 2023 - 0:50