How to prove $(1+i)$ is a prime in $\mathbb{Q}(i)$?
69582
Is it true that: $a+bi$ is prime in $\mathbb{Z}[i]$ if and only if $a^2+b^2$ is prime in $\mathbb{Z}$
8434
Order of $\mathbb{Z}[i]/(1+i)$
102889
If $2^n - 1$ is prime from some integer $n$, prove that n must also be prime.
131488
Show that $p^3+4$ is prime
146304
prove $(n)$ prime ideal of $\mathbb{Z}$ iff $n$ is prime or zero
15348
prime divisor of $3n+2$ proof
96844
Prove that 10101...10101 is NOT a prime.
134963
Proving a non-prime (composite) number $> 1$ has a divisor $d \leq\sqrt q$
143772
How can I algebraically prove that $2^n - 1$ is not always prime?
136947
Simple Mersenne prime divisibility proofs
27784
Proving that $\left(\mathbb Q[\sqrt p_1,\dots,\sqrt p_n]:\mathbb Q\right)=2^n$ for distinct primes $p_i$.
149747
Prove that if I is a prime ideal of R then I[x] is a prime ideal of R[x]
41035
Mapping that proves $\mathbb{Z} \subset \mathbb{Q}$
60305
Proving the congruence $p^{q-1}+q^{p-1} \equiv 1 \pmod{pq}$
5142
Infinitely many primes of the form $pn+1$
140294
prove that $n >2$ and $n$ is a prime then $n$ is odd
65511
Proving the following false: $f(x)=2x+1$ produces a prime number if and only if x is prime