$(p-1)(p+1)/24 \in \mathbb N$ for all primes $p \geq 5$
15915
For any prime $p > 3$, why is $p^2-1$ always divisible by 24?
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?
123033
Showing a number $n$ is prime if $(n-2)! \equiv 1 \pmod n$
102064
Prime number between $n$ and $n!+1$
5978
Prove that there exists only one prime number of the form $p^2−1$ where $p≥2$ is an integer
121890
Proof that $ p $ | ${ p^n \choose k } $ for any prime $p$ and $ k < p^n$
105442
Show that any prime divisor of $x^4+x^3+x^2+x+1$, with $x\in\mathbb{N}$, is $5$ or $1$ mod $5$
118629
$p,q$ odd primes, $q\mid a^p-1\Rightarrow q\mid a-1$ or $\,2p\mid q-1$
158106
Prove that 1 less than the number of equivalence classes divides $p-1$ where $p$ is prime
38876
$r! \equiv (−1)^k \pmod p$
85287
Prove that, for $p > 3$, $(\frac 3p) = 1$ when $p \equiv 1,11 \pmod{12}$ and $(\frac 3p) = -1$ when $p \equiv 5,7 \pmod{12}$
32803
Prove that if b is coprime to 6 then $b^2 \equiv 1 $ (mod 24)
73515
Primes Number Theory
23544
Complete induction proof that every $n > 1$ can be written as a product of primes
152299
Proving $a^{n-1} \equiv 1 \mod n $ when n is not prime.
50706
$|G|=p(p+1)$ for $p$ prime, then $G$ has a normal subgroup of order $p$ or $p+1$
66851
If $p,q$ are primes $(pq,a)=1$ and $p-1|q-1$ then prove $a^{q-1}\equiv 1\pmod{pq}$