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General Divisibility Algorithms

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Can Kaan KAYA^*

This version is not peer-reviewed

Submitted:

02 February 2024

Posted:

05 February 2024

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Abstract

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.

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Subject: Computer Science and Mathematics - Algebra and Number Theory

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