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the claim

A sufficiently large quantum computer running Shor's algorithm could break RSA encryption.

the verdict
SUPPORTED
the evidence backs this
Recorded sources
9 sources for · 1 against

Counts group repeated records of the same source within each side. They do not measure evidence strength or source independence.

Is it true that a sufficiently large quantum computer running Shor's algorithm could break RSA encryption?

Yes. Multiple peer-reviewed and reference sources state that Shor's algorithm, run on a sufficiently large or powerful quantum computer, would efficiently factor the large integers underlying RSA and thereby break RSA encryption. One reference source notes that new fast algorithms could render RSA insecure but considers this unlikely.

Verdict: SUPPORTED · 9 sources for, 1 against · Last checked

The private library was unavailable for some searches in this check. Missing library results are not evidence against the claim.

Evidence for · 9
RSA Encryption and the Shor Factoring Algorithm
2022
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Flarend, A. & Hilborn, B. (2022). RSA Encryption and the Shor Factoring Algorithm. doi.org. https://doi.org/10.1093/oso/9780192857972.003.0013

Evidence against · 1
Cryptography/RSA
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Cryptography/RSA. (n.d.). en.wikibooks.org. https://en.wikibooks.org/wiki/Cryptography/RSA

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More for · 8
Shor’s factoring algorithm and modern cryptography. An illustration of the capabilities inherent in quantum computers
2005
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Shor’s factoring algorithm and modern cryptography. An illustration of the capabilities inherent in quantum computers. (2005). doi.org. https://doi.org/10.1119/1.1891170

Shor's Factoring Algorithm and Modern Cryptography. An Illustration of the Capabilities Inherent in Quantum Computers
2004
Get citation
Gerjuoy, E. (2004). Shor's Factoring Algorithm and Modern Cryptography. An Illustration of the Capabilities Inherent in Quantum Computers. archive.org. https://archive.org/details/arxiv-quant-ph0411184

The Quantum Reckoning: Lattice Cryptography and the Post-RSA Era
2025
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The Quantum Reckoning: Lattice Cryptography and the Post-RSA Era. (2025). doi.org. https://doi.org/10.5281/zenodo.17832191

Quantum Safe Backend: Design and Implementation of a Post-Quantum Cryptographic Secure Storage and Communication Platform
2026
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Quantum Safe Backend: Design and Implementation of a Post-Quantum Cryptographic Secure Storage and Communication Platform. (2026). doi.org. https://doi.org/10.5281/zenodo.19024627

QUANTUM THREAT TO CLASSICAL CRYPTOGRAPHY: A FOCUS ON RSA
2025
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Lina, K. & Andrius, R. (2025). QUANTUM THREAT TO CLASSICAL CRYPTOGRAPHY: A FOCUS ON RSA. zenodo.org. https://doi.org/10.5281/zenodo.18111694

Optimization and Performance Analysis of Shor's Algorithm in Qiskit
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Optimization and Performance Analysis of Shor's Algorithm in Qiskit. (n.d.). openreview.net. https://openreview.net/forum?id=FVSW0TZmCI

Sharing sensitive supply chain information: A study on vulnerabilities in RSA encryption systems from the use of the shor algorithm
2025
Get citation
de, S. R. & Cesar, G. A. (2025). Sharing sensitive supply chain information: A study on vulnerabilities in RSA encryption systems from the use of the shor algorithm. zenodo.org. https://doi.org/10.29327/2384439.3.2-3

Experimental Demonstration of a Hybrid Authenticated Key Exchange Integrating QKD and PQC in a Single Protocol
Get citation
Experimental Demonstration of a Hybrid Authenticated Key Exchange Integrating QKD and PQC in a Single Protocol. (n.d.). cir.nii.ac.jp. https://doi.org/10.1364/quantum.2024.qth4b.7

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