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APO: Abdeslam Prime Origin, A Structural Oracle for Symbolic Primality

07 May 2025, Version 1
Working Paper
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

APO presents a new method for classifying prime numbers based on symbolic origin. Rather than testing for divisibility, it determines whether a number can be structurally constructed from smaller primes. If no such construction exists, the number is declared prime. This approach avoids unnecessary checks, provides deterministic classification, and forms the basis for symbolic primality frameworks.

Keywords

primality
symbolic logic
number theory
prime origin
APO
structural classification
irreducibility
deterministic primality

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Version History

May 07, 2025 Version 1

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License

All Rights Reserved

DOI

10.33774/coe-2025-xf3mt
D O I: 10.33774/coe-2025-xf3mt [opens in a new tab]

Author’s competing interest statement

The author(s) have declared they have no conflict of interest with regard to this content

Ethics

The author(s) have declared ethics committee/IRB approval is not relevant to this content

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