Powers of distinct primes in PID are relatively prime
7091
If $\gcd(a,b)=1$, then $\gcd(a^n,b^n)=1$
70066
Show that product of primes, $\prod_{k=1}^{\pi(n)} p_k < 4^n$
138279
Multiplicative order and powers
96062
Show $\underbrace{{111\cdots}1}_{{\small{p-1} \ 1's}}$ is divisible by $p$
12862
Prove that two distinct numbers of the form $a^{2^{n}} + 1$ and $a^{2^{m}} + 1$ are relatively prime if $a$ is even and have $\gcd=2$ if $a$ is odd
141687
Nonprincipal prime ideals contain two relatively prime elements
155991
Is it the case that every quotient ring ${F[x]}/{(p(x))}$ is a PID?
138882
A prime poset of ideals
136855
Proof that $\mathbb{Z}\left[\frac{1 + \sqrt{-19}}{2}\right]$ is a PID
11564
$\mathbb{Q}(\sqrt{p},\sqrt[3]{q})=\mathbb{Q}(\sqrt{p}\sqrt[3]{q})$ for distinct prime $p,q$
48691
Product of all prime numbers upto some prime $p$
78342
When is $\phi(n)$ a prime number?
8710
Bounds for $n$-th prime
77070
Prove Euler's Theorem when the integers are not relatively prime
10742
Powers of prime factors of a positive integer $n$ in "Mathematica"?
155452
Prime factorization of square numbers
121890
Proof that $ p $ | ${ p^n \choose k } $ for any prime $p$ and $ k < p^n$