Proof that $2^k+3^m=5^n$ has only a finite number of solutions?
88189
Finding all integer solutions of $5^x+7^y=2^z$
137970
$2 + 2 = 5$ (Fake proof, or ?)
109532
Proving $5^n \equiv 1 \pmod {2^r}$ when $n=2^{r-2}$
84893
Solutions of the equations of the degree 5 and more
94407
Number of solutions for $x[1] + x[2] + \ldots + x[n] =k$
20705
On equations $m^2+1=5^n$
126689
Find the number of natural solutions of $5^x+7^x+11^x=6^x+8^x+9^x$
112575
Finding integer solutions of $m^2-n^5 = m - n$
28148
Are there any simple ways to see that $e^z-z=0$ has infinitely many solutions?
137652
How many solutions does the equation $n_1 + n_2 + n_3 + n_4 + n_5 = 20$ have in the positive integers if $n_1 < n_2 < n_3 < n_4 < n_5$?
49096
How can I prove $5^{3^n}+1$ is divisible by $3^{n+1}$
90519
Combinatorial proof of $\sum\limits_{k=0}^n {n \choose k}3^k=4^n$
28274
Prove that $x^2 + y^2 = 3(z^2 + m^2)$ has no solutions in integer
124505
Proof that there must exist infinitely many solutions to a homogeneous system of equations when more unknowns than equations
38379
Showing that $e^z=z$ has infinitely many solutions
20034
Does $a^2+b^2=1$ have infinitely many solutions for $a,b\in\mathbb{Q}$?
82571
Number of solutions of $x^2=1$ in $\mathbb{Z}/n\mathbb{Z}$