Proof verification: Let $p\geq 2$. If $2^{p}-1$ is prime, then $p$ must also be prime.
107502
Let $p \geq 2$. Prove that if $2^p-1$ is prime then $p$ must also be prime.
36943
How to prove that $L=${$a^p$: p is prime} isn't regular?
135586
Prove that the preimage of a prime ideal is also prime.
83721
If a prime $p\mid ab$, then $p\mid a$ or $p\mid b\ $ [Euclid's Lemma]
108830
Let $G$ be a group of order $2p$ , where $p$ is a prime greater than $2$. Then, G is isomorphic to $\mathbb{Z}_{2p}$ or $D_p$
85206
Verifying proof :an Ideal $P$ is prime Ideal if $R/P$ is an integral domain.
140412
If $p$ and $q$ are distinct primes such that $p|c$ and $q|c$, prove that $pq|c$
52530
There exists a prime congruent to $m$ mod $p$
66851
If $p,q$ are primes $(pq,a)=1$ and $p-1|q-1$ then prove $a^{q-1}\equiv 1\pmod{pq}$
58182
How to prove that $\mathbb{Q}[\sqrt{p_1}, \sqrt{p_2}, \ldots,\sqrt{p_n} ] = \mathbb{Q}[\sqrt{p_1}+ \sqrt{p_2}+\cdots + \sqrt{p_n}]$, for $p_i$ prime?
50413
Proof: if $p$ is prime, and $0<k<p$ then $p$ divides $\binom pk$
100399
A doubt with a part of a certain proof.
151985
If $p$ is a prime and $x,y \in \mathbb{Z}$, then $(x+y)^p \equiv x^p+y^p \pmod{p}$
59036
If $a^{n}-1$ is prime then $a=2$ and $n$ is prime?
148790
Basic question about proofs with the goal $\exists x P(x)$
91935
If $x \equiv a \pmod {p_1}$ and $x\equiv a \pmod{p_2}$, then is it true that $x\equiv a \pmod{p_1p_2} ?$
50596
$p_1p_2...p_n +1$ is not square for $p_k = k$'th prime