Prove that $y^2=x^3+23$ has no integer solutions
9542
Integer solutions for $x^2-y^3 = 23$.
94700
Integer solutions for $x^3+2=y^2$?
52960
Show that the curve $x^2+y^2-3=0$ has no rational points
50760
Solutions to $y^2 = x^3 + k$?
135858
Prove $x^5 + x^4 + x^3 + x^2 + 1 = 0$ has no rational solution
63194
Find all integer solutions to $x^2-2y^2=1$
114954
Solve the equation $x^3 + 117y^3 = 5$ over the integers.
95409
Find no. of non negative integer solutions of $a+2b+3c = 200$
59653
$x^2-y^2=2s$, s cannot be an odd integer
65000
prove that $x^2 + y^2 = z^4$ has infinitely many solutions with $(x,y,z)=1$
73160
Solving the Diophantine Equation $x^2 - y! = 2001$ and $x^2 - y! = 2016$
101019
$x^3-9=y^2$ find integral solutions
76032
Prove that if m is a square integer then m is neither congruent to 2 modulo 5 nor congruent to 3 modulo 5
50182
Prove the Mordell's equation $x^2+41=y^3$ has no integer solutions
144802
Prove no solution to $x^2\equiv3\bmod5$
1001
Number of integer solutions of $x^2 + y^2 = k$
158933
Rational solutions of $y^2 = x^3 - x$