If $p^2\,$is divisible by 3, why is p also divisible by 3?
103496
Show that $3p^2=q^2$ implies $3|p$ and $3|q$
100892
Proving divisibility of $a^3 - a$ by $6$
130686
How is $3\pi-10$ element of $[-\pi/2,\pi/2]$?
116363
If $P(x^5)+xQ(x^5)+x^2R(x^5)=(x^4+x^3+x^2+x+1)S(x)$ , then prove that $P(x)$ is divisible by $x-1$
71110
Show that we cannot have a prime triplet of the form $p$, $p + 2$, $p + 4$ for $p >3$
2522
Why is $a^n - b^n$ divisible by $a-b$?
142470
$\mathbb{Q}(\sqrt{p},\sqrt[3]{q})= \mathbb{Q}(\sqrt{p}\cdot \sqrt[3]{q})$ ??
55437
When does $2^{n}$ divide $3^{n}-1$
34588
Number Theory: $p!+p=n^2$, $p$ = prime
125210
proof: primitive pythagorean triple, a or b has to be divisible by 3
80502
$p(x)$ divided by $x-c$ has remainder $p(c)$? [Polynomial Remainder Theorem]
104965
Find $n$ such that polynomial is divisible
51518
Is $\sqrt[3]{p+q\sqrt{3}}+\sqrt[3]{p-q\sqrt{3}}=n$, $(p,q,n)\in\mathbb{N} ^3$ solvable?
56624
Prove that $0!+1! + 2! + 3! + ..... + n!$ $\neq$ $p^\text{r}$, where $n \geqslant 3$ and $n$, $p$ and $r$ are three integers
113994
Let $p$ be a prime of the form $3k+2$ that divides $a^2+ab+b^2$ for some integers $a,b$. Prove that $a,b$ are both divisible by $p$.
128575
Elementary proof that $3$ is a primitive root of a Fermat prime?
62100
Show that $n^3-n$ is divisible by $6$ using induction