Paper Title
ABOUT THEORY OF DISTRIBUTION OF PRIME NUMBERS
Article Identifiers
Authors
Gabriel A
Keywords
" theory of distribution of prime number"
Abstract
In this article, two sets A and B are defined which are two subsets of natural numbers. Let k be an arbitrary natural number. k belongs to A implies 6k+1 a composite number, and k not belongs A implies 6k+1 a prime number. k belongs to B implies 6k-1 a composite number, and k not belongs to B implies 6k-1 a prime number. k belongs to A∩B implies 6k+1 and 6k-1 both are composite numbers, and k not belongs to A∪B implies 6k+1 and 6k-1 both are prime numbers. By using the above thesis, theorem (3) is proved. Theorem (3) states that any arbitrary natural number n the two closed intervals [6(p-n-1)+2, 6p-2] and [6p+2, 6(p+n+1)-2] contains no prime number. where p=q(62-1)(122-1)(182-1)………...(n262-1) and q is any natural number. Theorem (4) and Theorem (5) are given without proof. Since proofs of Theorem (4) and Theorem (5) are similar to proof of Theorem (3).
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How To Cite (APA)
Gabriel A (April-2023). ABOUT THEORY OF DISTRIBUTION OF PRIME NUMBERS. INTERNATIONAL JOURNAL OF NOVEL RESEARCH AND DEVELOPMENT, 8(4), b527-b538. https://ijnrd.org/papers/IJNRD2304175.pdf
Issue
Volume 8 Issue 4, April-2023
Pages : b527-b538
Other Publication Details
Paper Reg. ID: IJNRD_190541
Published Paper Id: IJNRD2304175
Downloads: 000121977
Research Area: Engineering
Country: -, -, --
Published Paper PDF: https://ijnrd.org/papers/IJNRD2304175.pdf
Published Paper URL: https://ijnrd.org/viewpaperforall?paper=IJNRD2304175
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