query: Find $n$ such that $f$ is reducible or give a proof.
positive_passages.docid: 143107
positive_passages.text: Why is $X^4 + \overline{2}$ irreducible in $\mathbb{F}_{125}[X]$?
negative_passages.docid: 59724
negative_passages.text: Proving that $x_n\to L$ implies $|x_n|\to |L|$, and what about the converse?
negative_passages.docid: 115782
negative_passages.text: Proof $\mathbb{A}^n$ is irreducible, without Nullstellensatz
negative_passages.docid: 21781
negative_passages.text: Prove for any $a>1$ there exist a natural number, $N$, such that $a^n>n$ for all $n \ge N$
negative_passages.docid: 39073
negative_passages.text: Proving that: $\forall n \in \mathbb{N} :|f^{(n)}(x)|\leq \frac{1}{n+1}$
negative_passages.docid: 155575
negative_passages.text: Proving a polynomial $f(x)$ composite for infinitely many $x$
negative_passages.docid: 78143
negative_passages.text: Proving $\mathbb{F}_p/\langle f(x)\rangle$ with $f(x)$ irreducible of degree $n$ is a field with $p^n$ elements
negative_passages.docid: 83738
negative_passages.text: Prove $(k,n+k)=1$ iff $(k,n)=1$
negative_passages.docid: 14648
negative_passages.text: Show that $f_0 - f_1 + f_2 - \cdots - f_{2n-1} + f_{2n} = f_{2n-1} - 1$ when $n$ is a positive integer
negative_passages.docid: 115459
negative_passages.text: Proving this $F_{n+1} \cdot F_{n-1} - F^2_n = (-1)^n$ by induction
negative_passages.docid: 8494
negative_passages.text: Proof Check: Number of elements of $\mathbb{F}_{p^{n}}$ of the form $a^{p}-a$ for some $a \in \mathbb{F}_{p^{n}}$.
negative_passages.docid: 15089
negative_passages.text: Big-O: If $f(n)=O(g(n))$, prove $2^{f(n)}=O(2^{(g(n)})$
negative_passages.docid: 151928
negative_passages.text: How to prove that $N\setminus A$ is finite?
negative_passages.docid: 46039
negative_passages.text: Prove that if $x \in R,$ then there exists $n \in Z$ satisfying $x \leq n < x+1$
negative_passages.docid: 67291
negative_passages.text: Prove that there exists $n\in\mathbb{N}$ such that $f^{(n)}$ has at least n+1 zeros on $(-1,1)$
negative_passages.docid: 81377
negative_passages.text: Show that $x^n + x + 3$ is irreducible for all $n \geq 2.$
negative_passages.docid: 4706
negative_passages.text: Prove $f=x^p-a$ either irreducible or has a root. (arbitrary characteristic) (without using the field norm)