Existence of solutions of Diophantine equations
28274
Prove that $x^2 + y^2 = 3(z^2 + m^2)$ has no solutions in integer
84893
Solutions of the equations of the degree 5 and more
151225
Solved Problems in Algebraic Number Theory
61022
Diophantine Equations : Solving $a^2+ b^2=2c^2$
32985
Prove that there does not exist integer solutions for the diophantine equation $x^5 - y^2 = 4$.
94700
Integer solutions for $x^3+2=y^2$?
20834
Integer solutions to $c=a^2-b^2$
57129
How to find an integer solution for general Diophantine equation $ax + by + cz + dt... = N$
19071
solution set for congruence $x^2 \equiv 1 \mod m$
144851
For a prime $p \equiv 1$ or $3$ (mod $8$), show that the equation $x^{2} + 2y^{2} = p$ has a solution.
41890
How to get all solutions of $x^2 \equiv$ $a$ mod $p$?
96647
Number theory: Problem involving rational numbers
95494
Number of solutions of an arithmetic function's equation
24837
$x^2+1=0$ uncountable many solutions
51153
Number of solutions to $x^2\equiv a\pmod m$
46028
Show that the solution for the Diophantine equation $x^2 - y^2 = N$ is unique if and only if $|N|$ or $\frac{|N|}{4}$, respectively, is $1$ or prime.
47001
Cubic diophantine equation