Newbetuts

If $n$ is a positive integer, does $n^3-1$ always have a prime factor that's 1 more than a multiple of 3?

A formula that counts exactly the twin prime averages occuring in an interval $[a,b]$ is surprisingly succinct!

$n$ such that $ n^2 \mid \varphi(n)^{\varphi(n)} - 1 $. Can $n$ be a prime number $n>2$ or a Carmichael number?

Smallest positive integer that is not coprime to any member of a set of integers

Divergence for $p$ prime numbers and convergence for $m$ composite numbers

Are the primes compressible?

Trig identities analogous to $\tan(\pi/5)+4\sin(\pi/5)=\sqrt{5+2\sqrt{5}}$

Prime Appearances in Fibonacci Number Factorizations

The number of prime years in a lifetime

Can every even integer greater than four be written as a sum of two twin primes?

Primes dividing the values of integer polynomials

elementary proof that infinite primes quadratic residue modulo $p$

What is the most efficient algorithm to find the closest prime less than a given number $n$

Let $(p_n)_{n \in \mathbb{N}}$ be the sequence of prime numbers, then $\lim_{n \to \infty}\frac{p_{n+1}}{p_n} = 1$?

Can exist an even number greater than $36$ with more even divisors than $36$, all of them being a prime$-1$?

Is every integer the sum of distinct prime numbers?

Are there infinitely many primes of form $\underbrace{3\dots3}_n{}1$?

Does “evenness” have a deeper mathematical significance than being divisible by 2?

New posts in prime-numbers

If $n$ is a positive integer, does $n^3-1$ always have a prime factor that's 1 more than a multiple of 3?

What is the smallest integer $n$>1 such that $n^{5000}+n^{2013}+1$ is prime?

Prove that $m^{2013}-m^{20}+m^{13}-2013$ has at least $N$ prime divisors

A formula that counts exactly the twin prime averages occuring in an interval $[a,b]$ is surprisingly succinct!

$n$ such that $ n^2 \mid \varphi(n)^{\varphi(n)} - 1 $. Can $n$ be a prime number $n>2$ or a Carmichael number?

Smallest positive integer that is not coprime to any member of a set of integers

Divergence for $p$ prime numbers and convergence for $m$ composite numbers

Are the primes compressible?

Trig identities analogous to $\tan(\pi/5)+4\sin(\pi/5)=\sqrt{5+2\sqrt{5}}$

Prime Appearances in Fibonacci Number Factorizations

The number of prime years in a lifetime

Can every even integer greater than four be written as a sum of two twin primes?

Primes dividing the values of integer polynomials

elementary proof that infinite primes quadratic residue modulo $p$

What is the most efficient algorithm to find the closest prime less than a given number $n$

Let $(p_n)_{n \in \mathbb{N}}$ be the sequence of prime numbers, then $\lim_{n \to \infty}\frac{p_{n+1}}{p_n} = 1$?

Can exist an even number greater than $36$ with more even divisors than $36$, all of them being a prime$-1$?

Is every integer the sum of distinct prime numbers?

Are there infinitely many primes of form $\underbrace{3\dots3}_n{}1$?

Does “evenness” have a deeper mathematical significance than being divisible by 2?