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 my previous article I have defined two sets A and B. which are two subsets of natural number. using this subsets, I have proved the following result. for any natural number k, if k∈A implies 6k+1 a composite number, and k ∉ A implies 6k+1 a prime number. if k∈B implies 6k-1 a composite number, and k ∉ B implies 6k-1 a prime number. if k∈A∩B implies 6k+1 and 6k-1 both are composite numbers, and k ∉ A∪B implies 6k+1 and 6k-1 both are prime numbers. In this article I have proved two theorems and one corollary about intersection of set natural numbers in the closed interval [1, (b-1)(6b+1)] with sets A, B, and AUB. i.e
i) Theorem (1) is about [1, (b-1)(6b+1)] ∩ A.
ii) Theorem (2) is about [1, (b-1)(6b+1)] ∩ B.
iii) Corollary is about [1, (b-1)(6b+1)] ∩ (A∪B).
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"Article 3 About Theory Of Distribution Of Prime Numbers", International Journal of Novel Research and Development (www.ijnrd.org), ISSN:2456-4184, Vol.8, Issue 4, page no.d608-d623, April-2023, Available :http://www.ijnrd.org/papers/IJNRD2304384.pdf
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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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