Determine all sets of non-negative integers x,y and z which satisfy the equation $2^x + 3^y = z^2$
114011
Algebra - Solving for three unknowns.
56796
Maximum of $x^3+y^3+z^3$ with $x+y+z=3$
26692
Equation in integers $7^x-3^y=4$
79
Find $a$, $b$ and $c$ that satisfy the following equations
41383
Prove that $(x+y+z)^2(yz+zx+xy)^2 \leq 3(y^2+yz+z^2)(z^2+zx+x^2)(x^2+xy+y^2)$
79925
Infinitely many values of $x$ that satisfy the equations
114489
Solving $x^p + y^p = p^z$ in positive integers $x,y,z$ and a prime $p$
22112
Find all integer solutions to $x^2+4=y^3$.
62036
Finding the number of non-negative integral solutions of $x + y + z = 10$
150085
Solutions to the diophantine equation: $2a^2 + 2b^2- c^2- d^2 = 0$
127183
Proof: For all integers $x$ and $y$, if $x^3+x = y^3+y$ then $x = y$
5595
$x^y = y^x$ for integers $x$ and $y$
47001
Cubic diophantine equation
29876
Find the number of triples $(x,y,z)$ of real numbers satisfying the equation $x^4+y^4+z^4+1=4xyz$
66256
Find all solutions of the equality $y^2=x^3+23$ for integers $x,y$
106271
Solutions of Diophantine equations in Natural numbers
124223
Find all pairs (x, y) of real numbers such that $16^{x^2+y} + 16^{x+y^2}=1$