If $x^n + a_{n-1}x^{n-1} + ... + a_0 = 0$ has a rational root, then such root is an integer
86882
Proving Gauss' polynomial theorem (Rational Root Test)
33735
The square of an integer is congruent to 0 or 1 mod 4
19046
Show that if $a$ and $b$ are positive integers with $(a,b)=1$ then $(a^n, b^n) = 1$ for all positive integers n
120981
$(x-x_0)^0$ in power series
50927
If $m,n\in N$ Prove that there is such a positive integer k, such that $(\sqrt{m}+\sqrt{m+1})^n=\sqrt{k}+\sqrt{k+1}$
150300
Root of unity for $n+1$
25981
Prove that $\sum_{k=0}^n a_k x^k = 0$ has at least $1$ real root if $\sum_{k=0}^n \frac{a_k}{k+1} = 0$
66210
Prove that $z^n + 1/{z^n}$ is a rational number
69288
Number of real roots of $\sum_{k=0}^{n}\frac{x^{k}}{k!}=0$
61987
$x^2+1=0$ in $\mathbb{Z}_7$
81778
If $m|n$ and $a$ is a primitive root of $n$, show that $a$ is a primitive root of $m$ (understanding a tip)
83337
If $A ∈M_n(C)$ is such that $(Ax,x) = 0$ for all $x ∈C^n$, then $A = 0$
123195
Prove by induction that a^n+a^-n is an integer.
109760
Showing that the product of all $n$th Roots of Unity is $(-1)^{n+1}$
96647
Number theory: Problem involving rational numbers
97656
Finding $a_n$ if $a_0=a_1=1,a_{n+1}=n(a_n+a_{n-1})\ \ (n\ge 1).$
12096
If $a+1/a$ is an integer, then so is $a^t+1/a^t$ for $t\in\mathbb N$