How to show that x^3=y^2+41 doesn't have integer solutions
50182
Prove the Mordell's equation $x^2+41=y^3$ has no integer solutions
24837
$x^2+1=0$ uncountable many solutions
74229
$2x^2+3y^2=z^2$ does not have a non-zero integral solution.
73079
Eliminating non-integer solutions to $ab / (2\sqrt{ab} + a + b)$
73160
Solving the Diophantine Equation $x^2 - y! = 2001$ and $x^2 - y! = 2016$
32985
Prove that there does not exist integer solutions for the diophantine equation $x^5 - y^2 = 4$.
55026
$\mathbb{Q}[X,Y]/(Y^2-X^3)$ is not a UFD
144802
Prove no solution to $x^2\equiv3\bmod5$
110195
$p=4n+3$ never has a Decomposition into $2$ Squares, right?
134570
Using Inclusion/Exclusion to solve $x_1+x_2+x_3=15$ with $x_1,x_2\leq 5$ and $x_3\leq 7$ for non negative integers $x_1,x_2,x_3$
65849
What are the common solutions of $x^2+y=31$ and $y^2+x=41$?
130565
Find all solutions to $x^3+(x+1)^3+ \dots + (x+15)^3=y^3$
30261
How can I find all integers $x≠3$ such that $x−3|x^3−3$
115244
Integer solutions of $m^2+(m+1)^2=n^4+(n+1)^4$
149254
Solving $y^3=x^3+8x^2-6x+8$
23301
There does not exist any integer $m$ such that $3n^2+3n+7=m^3$
147666
How to prove that either $2^{500} + 15$ or $2^{500} + 16$ isn't a perfect square?