Do there exist arbitrary large $n,n+1$ so that they are both prime powers?
131476
consecutive prime power
39698
On uniqueness of sums of prime powers
140006
Are there infinitely many primes and non primes of the form $10^n+1$?
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.
75011
Primes of the form $n^2+1$ - hard?
63702
There is a prime between $n$ and $n^2$, without Bertrand
68328
Infinitely many $n$ such that $2^n-n$ is divisible by a prime
8710
Bounds for $n$-th prime
2884
$m,n>1$ are relatively prime integers , then are there at-least four idempotent (w.r.t. multiplication) elements in $\mathbb Z_{mn}$ ?
144592
how to prove the existence and uniqueness of the prime factorization of any natural number.
53525
Infiniteness of non-twin primes.
56229
On the difference between consecutive primes
68376
How, if at all, does pure mathematics benefit from $2^{74207281}-1$ being prime?
146439
Is every sufficiently large positive integer of the form $ab + ac + bc + 1$?
4972
Mod of numbers with large exponents [modular order reduction]
13739
For all $n>2$ there exists a prime number between $n$ and $ n!$
119051
Show that only finitely many positive integers $n$ have the property that for all $m$ for which $1<m<n$ and $\text{gcd}(m,n) = 1$, $m$ is prime.