three variables Exponential diophantine
23866
Do there exist an infinite number of integer-solutions $(x,y,z)$ of $x^x\cdot y^y=z^z$ where $1\lt x\le y$?
30126
Linear Diophantine Equations in Three Variables
147562
Sum of squares diophantine equation
103274
Integer solutions to the equation $a^3+b^3+c^3=30$
946
How to find solutions of linear Diophantine ax + by = c?
377
Problem involving many squares and several variables.
21874
Solve $x^3+x \equiv 1 \pmod p$
128107
find all $ a \in \mathbb N $ such that $2^a − 1 \equiv 0 \pmod 3$ and $ 4x^2 + 1 \equiv 0 \pmod {\frac{2^a -1}{3}}$ has a solution
23638
$a^2b^2+a^2c^2+b^2c^2\leq 3$
9507
How to calculate the distribution of the minimum of multiple exponential variables?
105405
Product of three consecutive positive integers is never a perfect power
127422
Problem on Linear Diophantine Equation over 3 variables
112390
Solutions of $x^2 \equiv 1 \pmod N$
39135
Representation of integers by ternary quadratic form $x^2+y^2-z^2$
105302
Solutions of bivariate cubic Diophantine equation
72023
Integer solutions of the equation $x^2+y^2+z^2 = 2xyz$
145152
How to prove that $\frac{x^2}{yz+2}+\frac{y^2}{zx+2}+\frac{z^2}{xy+2}\geq \frac{x+y+z}{3}$ holds for any $(x,y,z)\in[1,2]^3$