General Divisibility Algorithms

Can Kaan KAYA

doi:10.20944/preprints202402.0238.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 2 February 2024 / Approved: 5 February 2024 / Online: 5 February 2024 (08:02:06 CET)

In my paper, a divisibility rule named the Queen function is de- scribed, which has been generalized for every integer and encompasses all pre- viously established divisibility rules. Subsequently, the paper discusses other areas where this function is instrumental. These include simplifying ratios, generating prime numbers, and more. Towards the end of the paper, a set of hypotheses is also presented. Among these, the most significant is the novel approach involving the application of the Queen function for prime number generation.

Arithmetic Functions; Discrete Mathematics; Primes; Number Theory

Computer Science and Mathematics, Algebra and Number Theory

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General Divisibility Algorithms

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