Prove this equation has only two integer solutions
44528
The only natural number $x$ for which $x+\sqrt{-2}$ is a cube in $\mathbb{Z}[\sqrt{-2}]$ is $x=5$
94067
How prove this diophantine equation $x^2+y^2+z^3=n$ always have integer solution
46668
How to find integer solutions to $M^2=5N^2+2N+1$?
146169
Integer solutions to $\frac{1}{a} + \frac{1}{b} = \frac{1}{12}$.
16946
How many solutions for an equation with simple restrictions
150085
Solutions to the diophantine equation: $2a^2 + 2b^2- c^2- d^2 = 0$
136856
Diophantine equation with a prime number
73262
Prove that the equation $\tan (z)=z$ has only real roots.
65000
prove that $x^2 + y^2 = z^4$ has infinitely many solutions with $(x,y,z)=1$
33645
Proving that an integral domain has at most two elements that satisfy the equation $x^2 = 1$.
43470
Prove: For odd integers $a$ and $b$, the equation $x^2 + 2 a x + 2 b = 0$ has no integer or rational roots.
99739
The diophantine equation $x^2+y^2=3z^2$
137920
Proving an equation with invertible matrices
45408
How many solutions does the equation $x_1 + x_2 + x_3 = 11$ have, where $x_1, x_2, x_3$ are nonnegative integers?
13120
Find all integer solutions to $x^2+y^2+z^2=2xyz$
24837
$x^2+1=0$ uncountable many solutions
7466
How would I prove that if an integer $n>2$, then $\bar{z}=z^{n-1}$ has $n+1$ solutions