Is $\sum_{r=1}^nrx^{r-1}$ always irreducible (over the integers)?
71415
Are derivatives of geometric progressions all irreducible?
146533
Having problems proving $ \sum_{r=0}^{n}(r+1) \binom{n}{r} = (n+2)2^{n-1} $
118571
Why is $\sum\limits_{k=0}^{n}(-1)^k\binom{n}{k}^2=(-1)^{n/2}\binom{n}{n/2}$ if $n$ is even?
8977
Showing $x^{5}-ax-1\in\mathbb{Z}[x]$ is irreducible
46946
Is there an elementary proof that $\sum \limits_{k=1}^n \frac1k$ is never an integer?
10976
Using induction to prove that $\sum_{r=1}^n r\cdot r! =(n+1)! -1$
62504
Is there any known relationship between $\sum_{i=1}^{n} f(i)$ and $\sum_{i=1}^{n} \dfrac {1}{f(i)}$
51952
Show that $x^{n-1}+\cdots +x+1$ is irreducible over $\mathbb Z$ if and only if $n$ is a prime.
32054
How To Prove That The Rijndael Polynomial Is Irreducible?
104753
$\sum_{k=1}^nH_k = (n+1)H_n-n$. Why?
111935
Irreducible but not prime
133755
Is true that $\sum_{k=1}^n\frac{[kx]}{k}\leq[nx]$, for every $x\in\mathbb{R}$ and for every $n\in\mathbb{Z}^+$?
46951
For what values of $n > 1$ and a is $x^n - a$ irreducible in $\mathbb Q[x]$?
100573
Show that $x^4-10x^2+1$ is irreducible over $\mathbb{Q}$
90612
Show that $9+9x+3x^3+6x^4+3x^5+x^6$ is irreducible given one of its roots
140550
Irreducible element iff prime norm in Gaussian integers?
62792
Can sum of a rational number and its reciprocal be an integer?