Question about primes in $\mathbb{Z}_{n} $
50412
Prime elements in $\mathbb{Z}/n\mathbb{Z}$
30134
For $a,n \in \Bbb N$, how to prove if $a^n-1$ is prime then $a=2$ and $n$ is prime?
143069
What are the direct summands in $\mathbb{Z}^n$?
29572
Proof that $2^n-1$ does not always generate primes when primes are plugged in for $n$?
25232
Is this formula for the $n^{th}$ prime number useful?
147871
How do the prime ideals of $\mathbb{Z}_{k}$ look like?
118452
how to prove $\mathbb Z_n$ has divisors of zero if and only if $n$ is not prime
63356
Can $x^{n}-1$ be prime if $x$ is not a power of $2$ and $n$ is odd?
75733
Divisibility of prime numbers
64782
How to prove if $n$ is prime and $n | a^2$ then $n | a$?
111037
Consider numbers of the type $n=2^m+1$. Prove that such an n is prime only if $n=F_K$ for some $ k \in N$, where $F_k$ is a Fermat Prime.
8710
Bounds for $n$-th prime
144622
Proof: If no prime less than or equal to $\sqrt{n}$ divides $n$, then $n$ is a prime
39915
Let $n$ be an integer such that if $d | n$ then $d + 1 | n + 1.$ Show that $n$ is a prime number
56779
The norm of a Gaussian prime is a prime or a square of a prime in $\mathbb{Z}$
41925
What is the distribution of primes modulo $n$?
13761
Automorphisms in $\mathbb{Z}_n$