Necessary and Sufficient Conditions for Primality in Integer Sequences

Zenodo (CERN European Organization for Nuclear Research) 2026 Preprint Open access

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Authors: Rafig Suleymanov
DOI: 10.5281/zenodo.18759661
Cited by: 0

Abstract

This note presents necessary and sufficient conditions under which certain numerical sequences produce prime numbers. The proofs of the theorems are obtained rigorously using special fractions of the type “Rio” introduced by the author. Such direct conditions for primality have not been previously established in the literature.

Fields of Study & Subjects

Analytic Number Theory Research Advanced Mathematical Theories and Applications Smarandache Functions and Recreational Number Theory

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
24 February 2026
Language
EN
Document type
Preprint