Number Theory

    

On the Generation of Odd Prime Numbers Through a Modified Composite Expression

Authors: Anil Sharma

This research paper investigates a distinctive mathematical expression involving natural numbers, unveiling its remarkable property of generating odd prime numbers. The expression, given by N+1 / N × (N! mod PN k=1 k) for natural positive integers N ranging from 2 to infinity, serves as the focal point of our exploration. The paper formulates a formal conjecture, provides a comprehensive proof, and elucidates the claim through stepwise examples.

Comments: 2 Pages. (Note by viXra Admin: Please list scientific references in future submissions)

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[v1] 2024-02-05 22:46:45

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