New posts in prime-numbers

$x^2+x+1$ is the cube of a prime.

Fibonacci numbers mod $p$

Largest consecutive integers with no prime factors except $2$, $3$ or $5$?

Adding digits in this way to primes to obtain another primes

Twin Primes by an amateur mathematician

Numbers that are divisible by the number of primes smaller than them

How to find number of prime numbers between two integers

Are there infinitely many primes $p$ such that $\frac{(p-1)! +1}{p}$ is prime?

Yet another conjecture about primes

An upper bound for $\log \operatorname{rad}(n!)$

Prime with digits reversed is prime?

Are there number systems or rings in which not every number is a product of primes?

German sofa primes: Can both $q$ and $\frac{q^3+1}{2}$ be prime?

What is the significance of the power of $3$ in the sequence of primes given by $\lfloor A^{3^n}\rfloor ?$

$\require{enclose}\enclose{horizontalstrike}{\rm Greatest}\!$ Least prime factor of $n$ is less than square root of $n$, proof

Cardinality of the set of prime numbers

How to prove that at least one solution to $x^2 + y^2 \equiv -1 \pmod p$ exists? [duplicate]

Show that for every prime $p$, there is an integer $n$ such that $2^{n}+3^{n}+6^{n}-1$ is divisible by $p$.

Prove that if $n$ is a composite, then $2^n-1$ is composite. [duplicate]

Who discovered the first explicit formula for the n-th prime?