query: Find all values of $n \in \mathbb{N}$ for which the fraction $\frac{3^n-2}{2^n-3}$ is reducible
positive_passages.docid: 20477
positive_passages.text: Prove that $\gcd(3^n-2,2^n-3)=\gcd(5,2^n-3)$
negative_passages.docid: 120627
negative_passages.text: Reducibility of polynomials modulo p
negative_passages.docid: 40565
negative_passages.text: How can I prove that one of $n$, $n+2$, and $n+4$ must be divisible by three, for any $n\in\mathbb{N}$
negative_passages.docid: 10742
negative_passages.text: Powers of prime factors of a positive integer $n$ in "Mathematica"?
negative_passages.docid: 126304
negative_passages.text: Determining bounds for the sum $\sum\limits_{n=1}^\infty \frac{1}{2^n - 3^n }$
negative_passages.docid: 92966
negative_passages.text: All integer values of $\frac{a^2+b^2+1}{ab-1}$
negative_passages.docid: 35666
negative_passages.text: How to prove the divisibility rule for $3\, $ [casting out threes]
negative_passages.docid: 104965
negative_passages.text: Find $n$ such that polynomial is divisible
negative_passages.docid: 90806
negative_passages.text: Find all positive integers $n$ such that $n$ is divisible by all the positive integers less than or equal to $\sqrt{n}$
negative_passages.docid: 31074
negative_passages.text: Mathematical Induction divisibility $8\mid 3^{2n}-1$
negative_passages.docid: 38364
negative_passages.text: Showing that $x^n -2$ is irreducible in $\mathbb{Q}[X]$
negative_passages.docid: 8164
negative_passages.text: Product of all monic irreducibles with degree dividing $n$ in $\mathbb{F}_{q}$?
negative_passages.docid: 138275
negative_passages.text: Show $100+t$ is reducible in $\mathbb{Z}[[t]]$
negative_passages.docid: 108550
negative_passages.text: Elements of $\mathbb Q(2^{1/3})$
negative_passages.docid: 121479
negative_passages.text: Why is $X^4+1$ reducible over $\mathbb F_p$ with $p \geq 3,$ prime
negative_passages.docid: 121714
negative_passages.text: Show that the polynomial $X^5 + X^3 + \bar{1}$ in $(\mathbb{Z}/2\mathbb{Z}[X])$ is irreducible
negative_passages.docid: 16592
negative_passages.text: Irreducible polynomial which is reducible modulo every prime