Determine all integers x,y that satisfy the equation $x^3 = y^2 +2$
94700
Integer solutions for $x^3+2=y^2$?
72023
Integer solutions of the equation $x^2+y^2+z^2 = 2xyz$
155363
Find all integers $(x, y)$ such that $1 + 2^x + 2^{2x + 1} = y^2$
26461
Integer solutions of $x^3-x+9=5y^2$
71756
diophantine equation: $x^2 +y^2 = z^n$
124223
Find all pairs (x, y) of real numbers such that $16^{x^2+y} + 16^{x+y^2}=1$
145287
Solve for integers $x, y, z$ such that $x + y = 1 - z$ and $x^3 + y^3 = 1 - z^2$.
70692
Solve $x^2+2=y^3$ using infinite descent?
50760
Solutions to $y^2 = x^3 + k$?
94067
How prove this diophantine equation $x^2+y^2+z^3=n$ always have integer solution
137010
What are integers $x$ and $n$ such as $ x^4+x^3+x^2+x+1 = n^2$?
153377
How to solve $y^2=3x^4+3x^2+1$ for integers.
65849
What are the common solutions of $x^2+y=31$ and $y^2+x=41$?
47809
If $x,y\in\mathbb Z$, solve $x^2+xy+y^2=x^2y^2$.
86285
Given positive integers $ x , y$ and that $3x^2 + x = 4y^2 +y$ Prove that $x-y$ is a perfect square
70406
Find all values x, y and z which satisfy the equation $(x^2 + 1)(y^2 + 1) = z^2 + 1$ given that $(x^2 + 1)$ and $(y^2 + 1)$ are both primes.
61877
Find all integer solutions to Diophantine equation $x^3+y^3+z^3=w^3$