%0 Journal Article
%T The Periodic Table of Primes
%A Han-Lin Li
%A Shu-Cherng Fang
%A Way Kuo
%J Advances in Pure Mathematics
%P 394-419
%@ 2160-0384
%D 2024
%I Scientific Research Publishing
%R 10.4236/apm.2024.145023
%X 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 <math display='inline' xmlns='http://www.w3.org/1998/Math/MathML'>
 <mrow>
  <mn>2</mn><mo>×</mo><mn>3</mn><mo>×</mo><mn>5</mn><mo>×</mo><mn>7</mn><mo>=</mo><mn>210</mn></mrow>
</math>

 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.
%K Primes
%K Composites
%K the Periodic Table of Primes
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=133679