Add to ORKGWe show that there are infinitely many primes p such that not only does p + 2 have at most two prime factors, but p + 6 also has a bounded number of prime divisors. This refines the well known result of Chen
We proved that $\liminf\limits_{n \rightarrow +\infty}(p_{n+1}-p_n)=2$ where $p_n$ is the $n-th$ pri...
Twin prime problem is well known in number theory. Sieve methods can only give almost primes because...
In 2 2 2a b c there are infinitely many primes a and c solutions. The generalized Pythagorean tr...
We show that there are infinitely many primes p such that not only does p + 2 have at most two prime...
Let Pr, denote integers with at most r prime factors counted according to multiplicity. In 1975, Y. ...
Goldston, Pintz and Yıldırım have shown that if the primes have ‘level of distribution’ θ for some θ...
Zhang has shown there are infinitely many intervals of bounded length containing two primes. We show...
This paper presents a complete and exhaustive proof that an Infinite Number of Triplet Primes exist....
Twin Primes Conjecture statement: “There are infinitely many primes p such that (p + 2) is also prim...
It is well-known that there are infinitely many prime numbers. The ‘Twin Prime Conjecture’ states t...
Many remarkably difficult conjectures in prime number theory take the form that there are infinitely...
In 1912, Edmund Landau listed four basic problems about prime numbers in the International Congress ...
Using Jiang function we prove for any k there are infinitely many primes P such that each of 0 2(2)P...
Abstract. In April 2013, Yitang Zhang proved the existence of a finite bound B such that there are i...
In this thesis we prove several different results about the number of primes represented by linear f...
We proved that $\liminf\limits_{n \rightarrow +\infty}(p_{n+1}-p_n)=2$ where $p_n$ is the $n-th$ pri...
Twin prime problem is well known in number theory. Sieve methods can only give almost primes because...
In 2 2 2a b c there are infinitely many primes a and c solutions. The generalized Pythagorean tr...
We show that there are infinitely many primes p such that not only does p + 2 have at most two prime...
Let Pr, denote integers with at most r prime factors counted according to multiplicity. In 1975, Y. ...
Goldston, Pintz and Yıldırım have shown that if the primes have ‘level of distribution’ θ for some θ...
Zhang has shown there are infinitely many intervals of bounded length containing two primes. We show...
This paper presents a complete and exhaustive proof that an Infinite Number of Triplet Primes exist....
Twin Primes Conjecture statement: “There are infinitely many primes p such that (p + 2) is also prim...
It is well-known that there are infinitely many prime numbers. The ‘Twin Prime Conjecture’ states t...
Many remarkably difficult conjectures in prime number theory take the form that there are infinitely...
In 1912, Edmund Landau listed four basic problems about prime numbers in the International Congress ...
Using Jiang function we prove for any k there are infinitely many primes P such that each of 0 2(2)P...
Abstract. In April 2013, Yitang Zhang proved the existence of a finite bound B such that there are i...
In this thesis we prove several different results about the number of primes represented by linear f...
We proved that $\liminf\limits_{n \rightarrow +\infty}(p_{n+1}-p_n)=2$ where $p_n$ is the $n-th$ pri...
Twin prime problem is well known in number theory. Sieve methods can only give almost primes because...
In 2 2 2a b c there are infinitely many primes a and c solutions. The generalized Pythagorean tr...