On primes between consecutive $n-th$ powers.
26878
Primes between consecutive cubes
17233
are two consecutive numbers relatively prime?
131385
How to provide a counterexample for if $n$ is prime, then $2^n -1$ is prime
6700
An Olympiad problem in prime numbers :can we proof that "n" is prime in this case "
51382
Proving that either $2^n-1 $ or $ 2^n+1$ is not prime
63300
Product of Consecutive Integers is Not a Power
116361
Relationship between prime factorizations of $n$ and $n+1$?
17786
Existence of Consecutive Quadratic residues
94575
Inductive proof that there are infinitely many pairs of consecutive powerful integers?
2218
Prove that $(n-1)! \equiv -1 \pmod{n}$ iff $n$ is prime [Wilson's Theorem]
105444
Possible values of prime gaps
155926
Prove there are k consecutive non-squarefree integers
39698
On uniqueness of sums of prime powers
22367
How do I prove that for every positive integer $n$, there exist $n$ consecutive positive integers, each of which is composite?
87267
Conjecture similar to Fermat's Theorem.
35096
Is the $n$-th prime smaller than $n(\log n + \log\log n-1+\frac{\log\log n}{\log n})$?
125188
how to prove $m^{\phi(n)}+n^{\phi(m)}\equiv 1 \pmod{mn}$ where m and n are relatively prime?