论文标题
使用新颖的方法来证明双素猜想，以查找下一个素数$ {p_ {n+1}} $后，给定的素数$ {p_ {n}} $，以及对最大限制的Prime Gap $ {g_}} $的改进
Towards Proving the Twin Prime Conjecture using a Novel Method For Finding the Next Prime Number ${P_{N+1}}$ after a Given Prime Number ${P_{N}}$ and a Refinement on the Maximal Bounded Prime Gap ${G_{i}}$
论文作者
论文摘要
本文介绍了一种新方法，以在给定的Prime $ {P} $之后找到下一个素数。所提出的方法用于得出一个不平等系统，这些系统作为约束，应由其继任者为双素的所有素数满足。 Twin Primes是质数，其主要差距为$ {2} $。对$ {（5,7），（11,13），（41,43）} $，etcetera都是双素数。本文设想，如果提出的不平等系统可以证明具有无限的解决方案，则双重猜想显然将被证明是正确的。该论文还派出了一个小说的上限，在Prime Gap上，$ {g_ {i}} $之间的$ {p_ {i} \之间的$ {g_ {i}} $和 \; p_ {i+1}} $，作为$ {p_ {i}} $的函数。
This paper introduces a new method to find the next prime number after a given prime ${P}$. The proposed method is used to derive a system of inequalities, that serve as constraints which should be satisfied by all primes whose successor is a twin prime. Twin primes are primes having a prime gap of ${2}$. The pairs ${(5,7),(11,13),(41,43)}$, etcetera are all twin primes. This paper envisions that if the proposed system of inequalities can be proven to have infinite solutions, the Twin Prime Conjecture will evidently be proven true. The paper also derives a novel upper bound on the prime gap, ${G_{i}}$ between ${P_{i} \; and \; P_{i+1}}$, as a function of ${P_{i}}$.
