Is there an obvious reason why $4^n+n^4$ cannot be prime for $n\ge 2$?
158563
If $m^4+4^n$ is prime, then $m=n=1$ or $m$ is odd and $n$ even
59036
If $a^{n}-1$ is prime then $a=2$ and $n$ is prime?
63356
Can $x^{n}-1$ be prime if $x$ is not a power of $2$ and $n$ is odd?
75733
Divisibility of prime numbers
8710
Bounds for $n$-th prime
50596
$p_1p_2...p_n +1$ is not square for $p_k = k$'th prime
105444
Possible values of prime gaps
154475
Prove that if $2^n - 1$ is prime, then $n$ is prime for $n$ being a natural number
154305
Let $\pi$ denote a prime element in $\mathbb Z[i], \pi \notin \mathbb Z, i \mathbb Z$. Prove that $N(\pi)=2$ or $N(\pi)=p$, $p \equiv 1 \pmod 4$
76807
How come if $\ i\ $ not of the following form, then $12i + 5$ must be prime?
10514
Proof that no polynomial with integer coefficients can only produce primes
63493
Why 4 is not a primitive root modulo p for any prime p?
151701
Does there exist an $a_0$ such that the sequence $a_{n+1} = 2a_n + 1$ is prime for all $n \ge 0$?
75011
Primes of the form $n^2+1$ - hard?
29572
Proof that $2^n-1$ does not always generate primes when primes are plugged in for $n$?
23606
Prime divisors of the integer $n^2+n-1$ (using the Legendre symbol)
82808
Do there exist any odd prime powers that can be represented as $n^4+4^n$?