Article 3 About Theory Of Distribution Of Prime Numbers

Article 3 About Theory Of Distribution Of Prime Numbers

Registration ID: IJNRD_191590

Published ID: IJNRD2304384

DOI: Click Here to Get

A. Gabriel

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", IJNRD - INTERNATIONAL JOURNAL OF NOVEL RESEARCH AND DEVELOPMENT (www.IJNRD.org), ISSN:2456-4184, Vol.8, Issue 4, page no.d608-d623, April-2023, Available :https://ijnrd.org/papers/IJNRD2304384.pdf

Volume 8 Issue 4, April-2023

Pages : d608-d623

Paper Reg. ID: IJNRD_191590

Published Paper Id: IJNRD2304384

Downloads: 000121189

Research Area: Mathematics

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

Published Paper PDF: https://ijnrd.org/papers/IJNRD2304384.pdf

Published Paper URL: https://ijnrd.org/viewpaperforall?paper=IJNRD2304384

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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