Title: Dynamically Generated Prime Number Sequences via Quantum Simulation

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

The quest for prime numbers remains a fundamental challenge in mathematics, driving a persistent desire for more efficient prime number generation techniques. Classical methods often struggle to produce sufficient numbers, while the search for novel prime distribution patterns is a long-standing endeavor. This paper explores a novel approach utilizing quantum simulation to generate and analyze prime number sequences with significantly enhanced density. We propose a quantum simulation technique that leverages quantum entanglement to create a highly complex, multi-scale model of prime number distribution. This model allows for the identification of intricate patterns and distributions, far exceeding the capabilities of classical computation. We detail the theoretical framework, the quantum algorithm implementation, and preliminary results demonstrating a substantial increase in prime number density compared to existing methods. This advancement holds the potential to revolutionize prime number discovery and contribute to a deeper understanding of the fundamental properties of prime numbers.

DOI: 10.5281/zenodo.22638725

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