Title: Universal Prime Number Generation – Quantum-Enhanced Algorithms

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

Prime numbers are a fundamental building block of mathematics, underpinning many cryptographic systems and fundamental number theory concepts. The generation of prime numbers remains a challenging problem, and classical algorithms often struggle with large numbers and long sequences. This paper proposes a novel quantum algorithm designed to dramatically increase the speed and efficiency of prime number generation, leveraging a sophisticated "Quantum Amplitude Amplification" technique. We demonstrate the potential of this approach to achieve significantly improved performance compared to existing classical methods, offering a promising pathway toward practical prime number generation. The core mechanism centers around strategically amplifying quantum states to enhance the probability of prime number discovery, a concept previously explored but rarely implemented at scale. This paper provides a detailed theoretical analysis and experimental validation of the proposed algorithm, highlighting its advantages and potential impact on prime number computation.

DOI: 10.5281/zenodo.22263949

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