Author(s)

Han-Lin Li¹, Shu-Cherng Fang², Way Kuo^3*

¹Department of Computer Science, City University of Hong Kong, Hong Kong, China.
²Department of Industrial and Systems Engineering, North Carolina State University, Raleigh, USA.
³Hong Kong Institute for Advanced Study, City University of Hong Kong, Hong Kong, China.

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 2, 3, 5, and 7. We identify 48 integers out of a period $2\times 3\times 5\times 7=210$ 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.

Primes, Composites, the Periodic Table of Primes

Li, H. , Fang, S. and Kuo, W. (2024) The Periodic Table of Primes. Advances in Pure Mathematics, 14, 394-419. doi: 10.4236/apm.2024.145023.