Arithmetic Reconstructed from 1:A Two-Dimensional Sieve for Prime Numbers
Year: 2025
Type: article
Abstract: This paper presents a novel and detailed approach to reconstructing arithmetic fromthe unit 1 and employing a two-dimensional (2D) framework for sieving prime num-bers. Our method reorganizes numbers as fractions in a 2D grid, applies a logarithmictransformation to group them into cells, and then projects the data to a canonical rep-resentation to recover the prime numbers. Although the final asymptotic result for theprime distribution remains the classical
Source: Figshare
Author: Quezada, Héctor Manuel
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6902415996
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