TL;DR
This paper introduces cyclic prime numbers, a new class derived from prime numbers in various numeric systems, exploring their properties, groupings, and relationships with cyclic and full reptend primes.
Contribution
It defines cyclic prime numbers, analyzes their properties, and investigates their groupings and relations across different numeric systems, a novel concept in prime number research.
Findings
Cyclic prime numbers can be derived from any prime in various numeric systems.
Properties and conditions of cyclic prime groups are characterized.
Relationships between cyclic primes, cyclic numbers, and full reptend primes are established.
Abstract
This work is meant to demonstrate new class of prime numbers -- cyclic prime numbers, that can be derived from any prime number at certain numeric systems. Cyclic prime numbers are also related to the cyclic numbers and full reptend prime numbers. Cyclic prime numbers, derived from the same prime number, could be grouped. Conditions and properties of those groups between different numeric systems are also the subjects of this paper.
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Taxonomy
TopicsAdvanced Mathematical Theories · Aerospace Engineering and Control Systems