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