Find all primes of the form $n^3-1,n\in\mathbb N,n>1$
10364
Is $7$ the only prime followed by a cube?
98443
Find positive integers such that $2n^3 + 5|n^4 +n+1$
122577
Prove that $(n^3 - 1)n^3(n^3 + 1)$ is divisible by $504$
155886
let q be an odd prime and p a prime dividing $1+n+\dots+n^{q-1}$
142008
Find all natural numbers $n$ such that ${(n+1)}^{1/2}-{(n-1)}^{1/2}$ is rational
146725
Are numbers of the form $n^2+n+17$ always prime
12365
Show that every prime $p>3$ is either of the form $6n+1$ or of the form $6n+5$
106111
Understanding that there are infinitely many primes of form $4n+3$
137230
Find all pairs of primes $p,q$ such that $pq \mid 2^p +2^q$
154475
Prove that if $2^n - 1$ is prime, then $n$ is prime for $n$ being a natural number
40156
Determine all primes $p$ for which $5$ is a quadratic residue modulo $p$
128107
find all $ a \in \mathbb N $ such that $2^a − 1 \equiv 0 \pmod 3$ and $ 4x^2 + 1 \equiv 0 \pmod {\frac{2^a -1}{3}}$ has a solution
78342
When is $\phi(n)$ a prime number?
143772
How can I algebraically prove that $2^n - 1$ is not always prime?
7421
Fastest way to list all primes below N
5841
Proving prime $p$ divides $\binom{p}{k}$ for $k\in\{1,\ldots,p-1\}$
48691
Product of all prime numbers upto some prime $p$