Article 6 About Theory Of Distribution Of Prime Numbers

Article 6 About Theory Of Distribution Of Prime Numbers

Registration ID: IJNRD_195356

Published ID: IJNRD2305420

DOI: Click Here to Get

A. Gabriel

Let G ={x | x∈N and 6x-1, 6x+1, 6x+5 & 6x+7 are all prime numbers} In other word, G = {x | x∈(A∪B)c and x+1∈(A∪B)c} Where A and B are two subsets of set of natural numbers as defined in my second article IJNRD 2304175. Set of natural numbers as universal set. i.e G = {17, 32, 137, 247, 312, 347, 542, 577, 942, 1572, ………………………} In this article, Theorem states that, n( [6b+1, (b-1)(6b+1)-1]∩G ) ≈ (b-2)(6b+1)(1/5)(3/7)(7/11)(9/13)………….((Pr-4)/Pr). Where Pr is greatest prime number such that Pr ≤ 6(b-1)+1. Infiniteness of pairs of two consecutive pairs of twin prime numbers in the form 6k-1 & 6k+1 and 6k+5 & 6k+7 is the immediate consequence of the above theorem.

Published Paper   E-Certificate

"Article 6 About Theory Of Distribution Of Prime Numbers ", IJNRD - INTERNATIONAL JOURNAL OF NOVEL RESEARCH AND DEVELOPMENT (www.IJNRD.org), ISSN:2456-4184, Vol.8, Issue 5, page no.e200-e219, May-2023, Available :https://ijnrd.org/papers/IJNRD2305420.pdf

Volume 8 Issue 5, May-2023

Pages : e200-e219

Paper Reg. ID: IJNRD_195356

Published Paper Id: IJNRD2305420

Downloads: 000121108

Research Area: Mathematics

Country: Gingee taluk, Villuppuram Dt, Tamil Nadu, India

Published Paper PDF: https://ijnrd.org/papers/IJNRD2305420.pdf

Published Paper URL: https://ijnrd.org/viewpaperforall?paper=IJNRD2305420

Journal Name: INTERNATIONAL JOURNAL OF NOVEL RESEARCH AND DEVELOPMENT(IJNRD)

ISSN: 2456-4184 | IMPACT FACTOR: 8.76 Calculated By Google Scholar | ESTD YEAR: 2016

An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 8.76 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator

Publisher: IJNRD (IJ Publication) Janvi Wave

This work is licensed under a Creative Commons Attribution 4.0 International License and The Open Definition

Call For Paper - Volume 10 | Issue 8 | August 2025

IJNRD is Scholarly open access journals, Peer-reviewed, and Refereed Journals, High Impact factor 8.76 (Calculate by google scholar and Semantic Scholar | AI-Powered Research Tool), Multidisciplinary, Monthly, Indexing in all major database & Metadata, Citation Generator, Digital Object Identifier(DOI) with Open-Access Publications.

INTERNATIONAL JOURNAL OF NOVEL RESEARCH AND DEVELOPMENT (IJNRD) aims to explore advances in research pertaining to applied, theoretical and experimental Technological studies. The goal is to promote scientific information interchange between researchers, developers, engineers, students, and practitioners working in and around the world. IJNRD will provide an opportunity for practitioners and educators of engineering field to exchange research evidence, models of best practice and innovative ideas.

Indexing In Google Scholar, SSRN, ResearcherID-Publons, Semantic Scholar | AI-Powered Research Tool, Microsoft Academic, Academia.edu, arXiv.org, Research Gate, CiteSeerX, ResearcherID Thomson Reuters, Mendeley : reference manager, DocStoc, ISSUU, Scribd, and many more

How to submit the paper?

Important Dates for Current issue

Paper Submission Open For: August 2025

Current Issue: Volume 10 | Issue 8

Last Date for Paper Submission: Till 31-Aug-2025

Notification of Review Result: Within 1-2 Days after Submitting paper.

Publication of Paper: Within 01-02 Days after Submititng documents.

Frequency: Monthly (12 issue Annually).

Journal Type: International Peer-reviewed, Refereed, and Open Access Journal.

Subject Category: Research Area