Number Theory

    

A New Class of Prime Numbers Based on Two Distinct Regular Alternating Gap Sequences and Their Predictive Properties

Authors: Christoper Muoki Mututu

Prime numbers have fascinated mathematicians for centuries due to their inherent unpredictability and fundamental role in number theory. Despite extensive research into their distribution and patterns, primes continue to surprise and challenge scholars. The Riemann Hypothesis, one of the most famous unsolved problems in mathematics, is a prime example of this unpredictability. This paper introduces a newly discovered class of prime numbers which under two distinct alternating gap sequences — 2,4,2 and 12,14,12 - predict the occurrence of six additional primes, either forward or in reverse, a phenomenon previously unknown in the study of prime numbers. This work offers not only a novel approach to prime generation but also introduces the idea that primes themselves can act as building blocks for other primes, leading to new methods of understanding prime distribution and its profound implications for both theoretical and applied mathematics.

Comments: 10 Pages. (Note by viXra Admin: Please cite and list scientific references)

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[v1] 2025-11-20 00:16:58

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