$3X^3+4Y^3+5Z^3$ has no rational solutions?
133680
On the equation $3x^3 + 4y^3 + 5z^3 = 0$
68528
$f(x)=x^n+5x^{n-1}+3$ can't be expressed as the product of two polynomials
72023
Integer solutions of the equation $x^2+y^2+z^2 = 2xyz$
130565
Find all solutions to $x^3+(x+1)^3+ \dots + (x+15)^3=y^3$
79544
Prove $x^3 + 3 =4y(y+1)$ has no integer solutions
80982
Solve $a^3+b^3+3ab=1$ with $(a,b)\in \Bbb{Z}^2$
53139
How to demonstrate that there is no all-prime generating polynomial with rational cofficents?
40087
Using Modularity Theorem and Ribet's Theorem to disprove existence of rational solutions
32985
Prove that there does not exist integer solutions for the diophantine equation $x^5 - y^2 = 4$.
34942
solving $x^3-2y^3=1$ using cubic number field
22112
Find all integer solutions to $x^2+4=y^3$.
107205
Find all Integral solutions to $x+y+z=3$, $x^3+y^3+z^3=3$.
153377
How to solve $y^2=3x^4+3x^2+1$ for integers.
133164
Rational solutions for $x^2+y^2=3$
3396
Find the case when $t^3$ never equals to any of the given
58284
How to prove that $\sqrt[3] 2 + \sqrt[3] 4$ is irrational?
99739
The diophantine equation $x^2+y^2=3z^2$