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April 6, 2026Open Access

Prime-Composite Periodic Function : From the Prime Periodicity Model to Unified Quantum Verification of RSA/ECC

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Authors

HFHuang Feiyue

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Overview

Uncovers prime periodicity for quantum verification of RSA and ECC, suggesting new cryptographic applications.

Key Points

  • The research aims to establish a model for the periodicity of prime numbers and its application in quantum cryptography.
  • Developed the Prime-Composite Periodic Function based on ancient philosophical concepts.
  • Conducted quantum simulation of RSA using a 20-qubit circuit for integer factorization.
  • Performed phase estimation for discrete logarithm in ECC using the PyQPanda simulator.
  • Successfully factorized the composite number 1891 in 18 seconds, aligning with classical results.
  • Extracted the private key x = 9 through quantum simulation, confirming the model's universality.
  • Demonstrated unified explanatory power for mathematical structures of RSA and ECC.

Cite This Study

Huang Feiyue (2026) studied this question.

synapsesocial.com/papers/69d34eac9c07852e0af98525https://doi.org/10.5281/zenodo.19412291
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