query: Find all solutions of $2^{m}-3^{n}=1$
positive_passages.docid: 103616
positive_passages.text: Distance between powers of 2 and 3
negative_passages.docid: 115244
negative_passages.text: Integer solutions of $m^2+(m+1)^2=n^4+(n+1)^4$
negative_passages.docid: 7279
negative_passages.text: $|2^x-3^y|=1$ has only three natural pairs as solutions
negative_passages.docid: 106271
negative_passages.text: Solutions of Diophantine equations in Natural numbers
negative_passages.docid: 28594
negative_passages.text: Number of integer solutions of the following equation
negative_passages.docid: 88189
negative_passages.text: Finding all integer solutions of $5^x+7^y=2^z$
negative_passages.docid: 124073
negative_passages.text: solving for one solution to a system of polynomials
negative_passages.docid: 133925
negative_passages.text: Find All Solutions to System of Congruence
negative_passages.docid: 88333
negative_passages.text: Find all integral solutions of $y^2=x^3+7$
negative_passages.docid: 61877
negative_passages.text: Find all integer solutions to Diophantine equation $x^3+y^3+z^3=w^3$
negative_passages.docid: 13120
negative_passages.text: Find all integer solutions to $x^2+y^2+z^2=2xyz$
negative_passages.docid: 41890
negative_passages.text: How to get all solutions of $x^2 \equiv$ $a$ mod $p$?
negative_passages.docid: 112390
negative_passages.text: Solutions of $x^2 \equiv 1 \pmod N$
negative_passages.docid: 29078
negative_passages.text: find all the values of a and b so that the system has a) no solution b) 1 solution c) exactly 3 solutions and 4) infinitely many solutions
negative_passages.docid: 42713
negative_passages.text: Solutions to the equation $ze^{a-z}=1$
negative_passages.docid: 63194
negative_passages.text: Find all integer solutions to $x^2-2y^2=1$
negative_passages.docid: 8884
negative_passages.text: Find all natural numbers $n$ and $m$ for which $n^m=(n-1)!+1$