$n \in \mathbb N$, find all values of $n$ for which $3^{2n+1}-2^{2n+1}-6^n$ is a prime number.
43939
Show that $3^{2n+1}-4^{n+1}+6^n$ is never prime for natural n except 1.
151701
Does there exist an $a_0$ such that the sequence $a_{n+1} = 2a_n + 1$ is prime for all $n \ge 0$?
132132
Are there infinitely many primes of the form $6^{2n}+1$ or only finitely many?
50781
$(n+1)$th prime $p_{n+1}$ less than or equal to $p_1p_2\dots p_n+1$
102889
If $2^n - 1$ is prime from some integer $n$, prove that n must also be prime.
17194
$6^{(n+2)} + 7^{(2n+1)}$ is divisible by $43$ for $n \ge 1$
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.
143772
How can I algebraically prove that $2^n - 1$ is not always prime?
97061
Is there a known mathematical equation to find the nth prime?
126945
checking if a number is a prime
77430
Prove that every prime larger than $3$ gives a remainder of $1$ or $5$ if divided by $6$
39915
Let $n$ be an integer such that if $d | n$ then $d + 1 | n + 1.$ Show that $n$ is a prime number
25023
How do you prove that there are infinitely many primes of the form $5 + 6n$?
12365
Show that every prime $p>3$ is either of the form $6n+1$ or of the form $6n+5$
50412
Prime elements in $\mathbb{Z}/n\mathbb{Z}$
123033
Showing a number $n$ is prime if $(n-2)! \equiv 1 \pmod n$
102064
Prime number between $n$ and $n!+1$