Number Theory

    

A Method for Generating Prime Numbers (A Constructive Approach)

Authors: Felipe Wescoup

This paper presents a method for generating lists of prime numbers. The algorithm presentedcalculates the set of all composite (non-prime) numbers up to a given limit and the set of primes is subsequently defined as its complement. The method is demonstrated through a JavaScript implementation, which is evolved over four iterative levels increasing optimization. Level 1 presents the core mathematical concept. Levels 2 and 3 include logical assumptions thatimprove efficiency. Level 4 is capable of calculating all primes up to 20 million in seconds within a standard web browser. This paper is supplemented by a public GitHub repository containing the complete operational code.

Comments: 9 Pages.

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Submission history

[v1] 2025-11-08 16:14:33

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