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New Periodic Table of Primes Revolutionizes Prime Number Study

New Periodic Table of Primes Revolutionizes Prime Number Study

April 26, 2025
Periodic Table of Primes Prime Numbers Cryptography Data Science Mathematics Cyclic Table of Composites Twin Primes
The Periodic Table of Primes (PTP) introduces a structured framework for organizing and predicting prime numbers, offering significant advancements in fields like cryptography and data science.

New Periodic Table of Primes Revolutionizes Prime Number Study

A periodic table of primes: Research team claims that prime ...

The Periodic Table of Primes (PTP) is a groundbreaking framework introduced in 2024 that organizes prime numbers in a structured and predictable manner. This innovative approach uses the first four prime numbers—2, 3, 5, and 7—to establish a periodic system for primes. Here are the key highlights: 1. **Roots of Primes**: The PTP identifies 48 integers within a period of 210 (2×3×5×7) as the roots of all primes and composites without factors of 2, 3, 5, and 7. These 48 integers serve as the foundational elements for generating primes and twin primes. 2. **Formula of Primes**: The study introduces a formula to determine primes by eliminating composites located in the Cyclic Table of Composites (CTC). This formula allows for the prediction of primes within specific intervals. 3. **Cyclic Table of Composites (CTC)**: The CTC is a 48×48 table that maps the positions of composites without factors of 2, 3, 5, and 7. It exhibits unique properties such as diagonal, dual, and mirror effects, which are essential for constructing the PTP. 4. **Counting Functions**: The PTP provides exact counting functions for primes and twin primes within a given interval, offering a precise method to determine their distribution. 5. **Applications**: The PTP has significant implications for fields like cryptography, data science, and systems reliability design, where prime numbers play a crucial role. The PTP not only demystifies the seemingly random distribution of primes but also provides a systematic way to study and predict their behavior. For more details, you can refer to the original papers published in Open Access Library (OALib) and Scientific Research Publishing.

Sources

The Periodic Table of Primes - Scientific Research Publishing 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 2×3×5× ...
[PDF] The Periodic Table of Primes - Scientific Research Publishing 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 pe- riod 2 3 ...
The Periodic Table of Primes - Open Access Library (OALib) 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 × 3 × 5 × 7 ...
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