Primesüsteem

Primesüsteem, meaning “Prime System” in Estonian, is a theoretical framework in number theory and computer science that treats prime numbers as the fundamental building blocks of numeric representation and arithmetic. It appears in academic discussions as an approach to representations, operations, and properties defined through prime moduli, prime factorization, and residue classes. The term is used to explore how prime structure influences encoding efficiency, algorithm design, and cryptographic primitives, rather than to define a single universally accepted system.

Variants typically encode integers by finite sequences linked to successive primes. Arithmetic rules are designed to reflect prime-related properties such as unique factorization and modular behavior with prime moduli. Researchers study how these representations interact with primality testing, gcd computations, and prime distribution to assess theoretical advantages for computation or data encoding.

Primesüsteem is not a standard, canonical theory but a naming convention found in certain Estonian-language texts. Definitions and notation vary by author, and the concept serves mainly as a conceptual and educational tool rather than a widely adopted framework. It has theoretical connections to cryptography, coding theory, and the study of prime-based encodings.