New posts in prime-twins

Are there any known special properties of a number located between twin primes?

First Order Logic: Prove that the infinitely many twin primes conjecture is equivalent to existence of infinite primes

Does proving the following statement equate to proving the twin prime conjecture?

What is wrong with this proposed proof of the twin prime conjecture?

Is every even number greater than 4 the sum of a prime number with another number that belongs to the set of twin primes?

$H(n)=\lfloor\dfrac{b}{n}\rfloor- \lfloor \dfrac{a}{n} \rfloor=$ (roughly) # odd pairs $o, o+2 \in [a,b]$ such that $n \mid o$ or $n \mid o+2$

What is notable about the composite numbers between twin primes?

A twin prime theorem, and a reformulation of the twin prime conjecture

Modified Euler's Totient function for counting constellations in reduced residue systems

Zhang's theorem and Polignac's conjecture

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

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

Twin prime conjecture proof error

What would be the immediate implications of a formula for prime numbers?

Twin Primes by an amateur mathematician

Twin Primes (continued research)

Why is factorization of large number hard

Whats wrong with this model theoretic proof of the twin primes conjecture?

If ratio: number of integers in between twin primes to number of all integers approaches but never reaches zero, does it imply infinite twin primes? [closed]

The significance and acceptance of Helfgott’s proof of the weak Goldbach Conjecture