diophantine equation: $x^2 +y^2 = z^n$
40063
$x^2+y^2=z^n$: Find solutions without Pythagoras!
147442
Quadratic Diophantine Equation $x^2 + axy + y^2 = z^2$
35504
The Diophantine equation $x^2 + 2 = y^3$
90261
Find all solutions of the equation $n^m=x^2+py^2$ which satisfy the following properties
29151
Equation with Vieta Jumping: $(x+y+z)^2=nxyz$.
73160
Solving the Diophantine Equation $x^2 - y! = 2001$ and $x^2 - y! = 2016$
14857
Solve the equation $28^x = 19^y+87^z$ in integers
51417
Solve: $\overline{z}=z^n$
32771
The equation $X^{n} + Y^{n} = Z^{n}$ , where $ n \geq 3$ is a natural number, has no solutions at all where $X,Y,Z$ are intergers.
117392
Does $x^2 - y^2 = 12345678$ (x,y are integers) have any solutions?
34393
Variation of Pythagorean triplets: $x^2+y^2 = z^3$
26461
Integer solutions of $x^3-x+9=5y^2$
18903
Finding solutions to equation of the form $1+x+x^{2} + \cdots + x^{m} = y^{n}$
65000
prove that $x^2 + y^2 = z^4$ has infinitely many solutions with $(x,y,z)=1$
87282
Diophantine equation involving prime numbers : $p^3 - q^5 = (p+q)^2$
136856
Diophantine equation with a prime number
10548
The equation $-1 = x^2 + y^2$ in finite fields