$T_1^{n+1}-T_2^{n}$ is prime for $n\in\mathbb{N}$.
111114
Prove that an ideal in $k[x,y]$ is a prime ideal
1837
Showing that $1^k+2^k + \dots + n^k$ is divisible by $n(n+1)\over 2$
90144
Show that if $a+bi$ is irreducible over $\mathbb{Z} [i]$ then $a^2 + b^2$ is prime over $\mathbb{Z} $
22742
Prove that if $p$ and $p^2+2$ are prime then $p^3+2$ is prime too
68328
Infinitely many $n$ such that $2^n-n$ is divisible by a prime
26514
Prove that if $n$ is a composite, then $2^n-1$ is composite.
44857
Why the $(n+1)$th prime number cannot exceed the smallest prime divisor of $p_1\dotsc p_n + 1$
47162
Proving there are infinitely many primes of the form $a2^k+1.$
6700
An Olympiad problem in prime numbers :can we proof that "n" is prime in this case "
64782
How to prove if $n$ is prime and $n | a^2$ then $n | a$?
59036
If $a^{n}-1$ is prime then $a=2$ and $n$ is prime?
29572
Proof that $2^n-1$ does not always generate primes when primes are plugged in for $n$?
115726
For $p,q$ prime and $p \neq q$ show that $C_p \times C_q \cong C_{pq}$
56779
The norm of a Gaussian prime is a prime or a square of a prime in $\mathbb{Z}$
63356
Can $x^{n}-1$ be prime if $x$ is not a power of $2$ and $n$ is odd?
121890
Proof that $ p $ | ${ p^n \choose k } $ for any prime $p$ and $ k < p^n$
75011
Primes of the form $n^2+1$ - hard?