query: Solve $2^x+3^y=z^2$ in nonnegative integers.
positive_passages.docid: 114011
positive_passages.text: Algebra - Solving for three unknowns.
negative_passages.docid: 127183
negative_passages.text: Proof: For all integers $x$ and $y$, if $x^3+x = y^3+y$ then $x = y$
negative_passages.docid: 35504
negative_passages.text: The Diophantine equation $x^2 + 2 = y^3$
negative_passages.docid: 149254
negative_passages.text: Solving $y^3=x^3+8x^2-6x+8$
negative_passages.docid: 87304
negative_passages.text: Solving for $x$ : $a^x+b^x=c$
negative_passages.docid: 47809
negative_passages.text: If $x,y\in\mathbb Z$, solve $x^2+xy+y^2=x^2y^2$.
negative_passages.docid: 56796
negative_passages.text: Maximum of $x^3+y^3+z^3$ with $x+y+z=3$
negative_passages.docid: 94700
negative_passages.text: Integer solutions for $x^3+2=y^2$?
negative_passages.docid: 153377
negative_passages.text: How to solve $y^2=3x^4+3x^2+1$ for integers.
negative_passages.docid: 5595
negative_passages.text: $x^y = y^x$ for integers $x$ and $y$
negative_passages.docid: 74229
negative_passages.text: $2x^2+3y^2=z^2$ does not have a non-zero integral solution.
negative_passages.docid: 41689
negative_passages.text: Find all solutions: $x^2 + 2y^2 = z^2$
negative_passages.docid: 143194
negative_passages.text: How would you solve the diophantine $x^4+y^4=2z^2$
negative_passages.docid: 133164
negative_passages.text: Rational solutions for $x^2+y^2=3$
negative_passages.docid: 12837
negative_passages.text: Inequality with condition $x^2+y^2+z^2=1$.
negative_passages.docid: 85917
negative_passages.text: Solve $(x+1)^y-x^z=1$
negative_passages.docid: 94067
negative_passages.text: How prove this diophantine equation $x^2+y^2+z^3=n$ always have integer solution