Article 4 About Theory Of Distribution Of Prime Numbers

Article 4 About Theory Of Distribution Of Prime Numbers

Registration ID: IJNRD_193376

Published ID: IJNRD2305057

DOI: Click Here to Get

A. Gabriel

In this article, a theorem about distribution of twin prime numbers is given. The theorem states that, Number of pairs of twin prime numbers in the arbitrary (generalized) closed interval [36b+11, 6(b-1)(6b+1)+1] is almost (approximately) equal to (b-2)(6b+1)(3/5)(5/7)(9/11)(11/13)……………(Pr – 2)/Pr Where b is arbitrary natural number, and Pr is the greatest prime number such that Pr ≤ 6(b-1)+1. And except (b-2) and (6b+1), other factors are in the form (P-2)/P. where P is a prime number such that P ≤ 6(b-1)+1. The immediate consequence of above theorem is infiniteness of twin prime numbers, which is proved before three years.

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"Article 4 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.a453-a466, May-2023, Available :https://ijnrd.org/papers/IJNRD2305057.pdf

Volume 8 Issue 5, May-2023

Pages : a453-a466

Paper Reg. ID: IJNRD_193376

Published Paper Id: IJNRD2305057

Downloads: 000121111

Research Area: Mathematics

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

Published Paper PDF: https://ijnrd.org/papers/IJNRD2305057.pdf

Published Paper URL: https://ijnrd.org/viewpaperforall?paper=IJNRD2305057

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

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

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