Why are primes of the form $6k+1, 6k-1$ where the prime is $\geq 3$
12365
Show that every prime $p>3$ is either of the form $6n+1$ or of the form $6n+5$
95111
Elementary proof for $\sqrt{p_{n+1}} \notin \mathbb{Q}(\sqrt{p_1}, \sqrt{p_2}, \ldots, \sqrt{p_n})$ where $p_i$ are different prime numbers.
157766
Are primes (ignoring $2$) equally likely to be $1~\text{or}~3\pmod 4$?
25428
Prime numbers of the form $ n^{34} -9$
117132
Rationals of the form $\frac{p}{q}$ where $p,q$ are primes in $[a,b]$
22023
Infinitely number of primes in the form $4n+1$ proof
40968
show if $n=4k+3$ is a prime and ${a^2+b^2} \equiv 0 \pmod n$ , then $a \equiv b \equiv 0 \pmod n$
146851
Prove that $-3$ is a quadratic residue mod an odd prime $>3$ if and only if $p$ is of the form of $6n+1$
100984
Prove that if prime $p$ divide $a_{2k}-2$, then $p$ divide also $a_{2k+1}-1$.
62821
Infinitely many primes of the type 5 mod 6.
16621
Help understand the proof of infinitely many primes of the form $4n+3$
121479
Why is $X^4+1$ reducible over $\mathbb F_p$ with $p \geq 3,$ prime
136856
Diophantine equation with a prime number
33714
$p$ prime, $p\mid a^k \Rightarrow p^k\mid a^k$
136947
Simple Mersenne prime divisibility proofs
72666
Prime Numbers And Perfect Squares
9043
finding infinetely many primes in three different forms of prime numbers below