INTERNATIONAL JOURNAL OF NOVEL RESEARCH AND DEVELOPMENT International Peer Reviewed & Refereed Journals, Open Access Journal ISSN Approved Journal No: 2456-4184 | Impact factor: 8.76 | ESTD Year: 2016
Scholarly open access journals, Peer-reviewed, and Refereed Journals, 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)
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.
Keywords:
Cite Article:
"Article 4 About Theory Of Distribution Of Prime Numbers ", International Journal of Novel Research and Development (www.ijnrd.org), ISSN:2456-4184, Vol.8, Issue 5, page no.a453-a466, May-2023, Available :http://www.ijnrd.org/papers/IJNRD2305057.pdf
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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
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