Corpus ID: 119724013

A Possible Solution for Hilbert's Unsolved 8th Problem: Twin Prime Conjecture

@article{Chen2017APS,
  title={A Possible Solution for Hilbert's Unsolved 8th Problem: Twin Prime Conjecture},
  author={Yuhsin Chen and Yensen Ni and Muyi Chen},
  journal={arXiv: General Mathematics},
  year={2017}
}
We measure whether there are numerous pairs of twin primes (hereafter referred to as twin prime pairs) according to the prime number inferred by sieve of Eratosthenes. In this study, we reveal at least three additional twin prime pairs increased as n is increased by 1, while setting (6n+5)**2 as the range for estimating twin prime pairs. As a result, we prove the Twin Prime Conjecture proposed by de Polignac in 1849. That is, there are numerous twin prime pairs, indicating that there are… Expand
1 Citations
Triple Reflections- A Discourse on Twin Prime Conjecture, Pascal’s Triangle, and Euler’s e
The twin prime conjecture has attracted a lot of attention worldwide. It is still an unresolved problem, even though the work of Yitang Zhang has partially resolved it. The author of this paper aimsExpand

References

SHOWING 1-4 OF 4 REFERENCES
Small gaps between primes
We introduce a renement of the GPY sieve method for studying prime k-tuples and small gaps between primes. This renement avoids previous limitations of the method and allows us to show that for eachExpand
The "bounded gaps between primes" Polymath project - a retrospective
For any $m \geq 1$, let $H_m$ denote the quantity $H_m := \liminf_{n \to \infty} (p_{n+m}-p_n)$, where $p_n$ denotes the $n^{\operatorname{th}}$ prime; thus for instance the twin prime conjecture isExpand
Sieves of Eratosthenes
THE sieve of Eratosthenes has been used mainly for the determination of prime numbers—a function now presumably archaic. Sieves have other uses, including the finding of primes in arithmeticalExpand