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 $G_i$

Reema Joshi

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 constraint…