List questions from exponential-diophantine-equations | MathQA

Collatz Conjecture and non-trivial cycles

Published on 31 Mar 2022 - 10:36

Find solution set of Diophantine equation: $\frac{a^b-1}{a-1}=\frac{c^d-1}{c-1}$

Published on 04 Apr 2022 - 22:22

Solutions to $4^\alpha+1=q^\beta$

Published on 15 Apr 2022 - 16:18

Positive integers satisfying $a^b = cd$ and $b^a = c+d$

Published on 19 May 2022 - 21:21

Find all integers $x,y \in \Bbb N$ such that $2^x = 3^y+5$.

Published on 16 Jun 2022 - 15:50

Solve the Diophantine equation $ (3^{n}-1)(3^{m}-1)=x^{r} $

Published on 02 Jul 2022 - 23:04

Integer solutions to $2^n - n = m^2$?

Published on 02 Aug 2022 - 2:46

Integer solution $xy=2^x-1$

Published on 13 Aug 2022 - 3:16

Something not looking obvious in solving equation $x^y=y^x$ for rational $x$ and $y$.

Published on 15 Aug 2022 - 7:17

Solving an exponential equation with variable in linear sum

Published on 19 Aug 2022 - 10:11

Prove that $2\cdot 3^x +1= p^y$ has no solution

Published on 27 Nov 2022 - 10:51