Show that every prime $p>3$ is either of the form $6n+1$ or of the form $6n+5$
2425
Is that true that all the prime numbers are of the form $6m \pm 1$?
129163
Showing that every positive integer can be represented in this form
76282
Prime number expressible as $2^2+3^3+5^5+7^7+11^{11}+\cdots$
88656
For $p$ prime, show that $\Phi_{p^n}(x) = 1 + x^{p^{n-1}} + x^{2p^{n-2}} + \dots +x^{(p-1)^{p^n-1}}$
6918
Primes congruent to 1 mod 6
5142
Infinitely many primes of the form $pn+1$
84603
Prove that if $p$ is a prime such that $p^2+2$ is a prime then $p=3$.
33714
$p$ prime, $p\mid a^k \Rightarrow p^k\mid a^k$
121890
Proof that $ p $ | ${ p^n \choose k } $ for any prime $p$ and $ k < p^n$
70308
Prove that if $p$ and $p+2$ are both prime integers greater than $3$, then $6$ is a factor of $p+1$.
1702
Proving that there are infinitely many primes with remainder of 2 when divided by 3
22742
Prove that if $p$ and $p^2+2$ are prime then $p^3+2$ is prime too
17660
Show that the odd prime divisors of $n^2+n+1$ are of form $6k+1$ (exclude 3)
131241
primes congruent to 5 mod 6 and 1 mod p
71880
Prove that every prime factor of $12x^2+1$ has the form $6n+1$
50781
$(n+1)$th prime $p_{n+1}$ less than or equal to $p_1p_2\dots p_n+1$
136856
Diophantine equation with a prime number