Integer valued solution to equation $x^2+y^2+1=xyz$
25784
Let $x$ and $y$ be positive integers such that $xy \mid x^2+y^2+1$.
44744
Integer solutions of $xy+9(x+y)=2006$
113386
Find all integer roots of: $x^2(y-1)+y^2(x-1)=1$
34435
Integral solutions to $y^{2}=x^{3}-1$
147442
Quadratic Diophantine Equation $x^2 + axy + y^2 = z^2$
42813
Square valued integer polynomial
117392
Does $x^2 - y^2 = 12345678$ (x,y are integers) have any solutions?
111467
find all natural solution that satisfy $x^2+y^2 = 3z^2$
46668
How to find integer solutions to $M^2=5N^2+2N+1$?
59091
A quartic diophantine equation
143194
How would you solve the diophantine $x^4+y^4=2z^2$
94700
Integer solutions for $x^3+2=y^2$?
135087
Find integer solutions of $xy=-1$ (using only elementary ring theory).
40063
$x^2+y^2=z^n$: Find solutions without Pythagoras!
133164
Rational solutions for $x^2+y^2=3$
18903
Finding solutions to equation of the form $1+x+x^{2} + \cdots + x^{m} = y^{n}$
104966
Find integer solution to the given system of equation.