List questions from infinite-descent | MathQa

Fermat's infinite descent for finding the squares that sum to a prime

Published on 12 Jan 2025 - 23:31

Fermat's Challenge of composition of numbers

Published on 13 Jan 2025 - 2:18

Find all solutions to the equation $x^2 + y^2 + xy = (xy)^2$

Published on 13 Jan 2025 - 2:20

What are the principal (different) mechanisms of infinite descent proof?

Published on 13 Jan 2025 - 2:23

Infinite descent argument in the case of $x^5+y^5=z^5$.

Published on 12 Jan 2025 - 23:13

How to understand the two definitions of finite descent are logical equivalent?

Published on 13 Jan 2025 - 2:16

Show that $\sqrt{2} \notin \mathbb{Q}(i)$ using infinite descent

Published on 12 Jan 2025 - 23:14

Solve $x^2+2=y^3$ using infinite descent?

Published on 13 Jan 2025 - 2:18

Can the irrationality of $\sqrt3$ be proven geometrically by infinite descent, similarly to Tom Apostol's proof of the irrationality of $\sqrt2$?

Published on 13 Jan 2025 - 0:09

Mordell's Theorem and Fermat's Last Theorem for $n=4$: A general method?

Published on 13 Jan 2025 - 2:20