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ZENODO
Preprint . 2025
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2025
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2025
License: CC BY
Data sources: Datacite
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Efficient Reconstruction of Euler's Totient Function from Carmichael's Function in Semiprime RSA Moduli

Authors: Zaludek, Filip;

Efficient Reconstruction of Euler's Totient Function from Carmichael's Function in Semiprime RSA Moduli

Abstract

We present a direct and efficient algorithm to reconstruct Euler’s totient function φ(N) from the Carmichael function λ(N), under the assumption that N=pq is a semiprime. This method avoids explicit computation of gcd⁡(p−1,q−1) and enables immediate recovery of p and q via a single quadratic equation. The algorithm has been experimentally validated across over a million semiprime combinations and has potential applications in RSA analysis, quantum algorithm post-processing, and number-theoretical education.

Keywords

Euler's totient function, factoring algorithms, RSA, Carmichael function, semiprime analysis, quantum post-processing

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average