List questions from infinite-descent | MathQA

No positive integers $(a,b)$ satisfying $2^b -1\mid 2^a +1$ (AoPS Vol 2)

Published on 30 Nov 2021 - 20:00

Show that there are infinitely many solutions $x, y, z \in\mathbb N$ of the following equation $x^2 + y^3 = z^7.$

Published on 22 May 2022 - 17:32

How does this geometric application of proof by infinite descent work

Published on 20 Jun 2022 - 3:14

Solutions in $\mathbb{Z}$ for $x + y = xy$ : Proof by infinite descent

Published on 01 Sep 2022 - 14:05

Proof Completion: Solutions in $\mathbb{Z}$ for $x + y = xy$

Published on 02 Sep 2022 - 16:17

There are no positive integers such that $a+b^2$, $a^2+b$ are both powers of $5$

Published on 26 Nov 2022 - 23:10