Find all primes that can be represented by $n^3+1$, $n\in \Bbb N$
114867
Prove $\forall n\geq 2,n\in\mathbb{Z}$, $(n+1)\mid(n^3+1)$
30134
For $a,n \in \Bbb N$, how to prove if $a^n-1$ is prime then $a=2$ and $n$ is prime?
82482
Proving an infinite number of primes of the form 6n+1
4943
If $p,q,r$ are all primes,and $p|qr-1$,$q|pr-1$ and $r|pq-1$,find all possible values of $pqr$.
19740
What's are all the prime elements in Gaussian integers $\mathbb{Z}[i]$
5841
Proving prime $p$ divides $\binom{p}{k}$ for $k\in\{1,\ldots,p-1\}$
12365
Show that every prime $p>3$ is either of the form $6n+1$ or of the form $6n+5$
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
91353
Given $n \in \Bbb Z$, determine $\gcd(3n^2 + 7n + 4, n + 2)$.
116361
Relationship between prime factorizations of $n$ and $n+1$?
101708
Integers can be expressed as $a^3+b^3+c^3-3abc$
23606
Prime divisors of the integer $n^2+n-1$ (using the Legendre symbol)
16621
Help understand the proof of infinitely many primes of the form $4n+3$
98468
Are there infinitely many primes of the form $n!+1$?
17660
Show that the odd prime divisors of $n^2+n+1$ are of form $6k+1$ (exclude 3)
151636
Fast way to calculate n! mod m where m is prime?
73515
Primes Number Theory