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 ${G_{i}}$

arXiv2004.14819MaRDI QIDQ6339759

Author name not available (Why is that?)

Publication date: 28 April 2020

Abstract: 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}; a n d; P_{i + 1}

, as a function of

P_{i}

.

Mathematics Subject Classification ID

No records found.

This page was built for publication: 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 ${G_{i}}$

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6339759)