The Periodic Table of Primes

29 Pages Posted: 15 Mar 2024 Last revised: 15 May 2024

See all articles by Han-Lin Li

Han-Lin Li

City University of Hong Kong

Shu-Cherng Fang

North Carolina State University

Way Kuo

City University of Hong Kong

Date Written: April 6, 2024

Abstract

Over millennia, nobody has been able to predict where prime numbers sprout or how they spread. This study establishes the Periodic Table of Primes (PTP) using four prime numbers of 2, 3, 5, and 7. We identify 48 integers out of a period of 2x3x5x7=210 to be the roots of all primes as well as composites without factors of 2, 3, 5, and 7. Each prime, twin primes, or composite without factors of 2, 3, 5 and 7 is an offspring of the 48 integers uniquely allocated on the PTP. Three major establishments made in the article are the Formula of Primes, the Periodic Table of Primes, and the Counting Functions of Primes and Twin Primes.

Keywords: Primes, composites, the Periodic Table of Primes

Suggested Citation

Li, Han-Lin and Fang, Shu-Cherng and Kuo, Way, The Periodic Table of Primes (April 6, 2024). Available at SSRN: https://ssrn.com/abstract=4742238 or http://dx.doi.org/10.2139/ssrn.4742238

Han-Lin Li

City University of Hong Kong

Shu-Cherng Fang

North Carolina State University ( email )

Way Kuo (Contact Author)

City University of Hong Kong ( email )

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