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Kleinjung, T., Aoki, K., Franke, J., Lenstra, A.K., Thomé, E., Bos, J.W., et al. (2010) Factorization of a 768-Bit RSA Modulus. In: Rabin, T., Ed., Advances in Cryptology—CRYPTO 2010, Springer, 333-350.
https://doi.org/10.1007/978-3-642-14623-7_18

has been cited by the following article:

• TITLE: Kernel Factor Pairs for Semiprime Factorization

  AUTHORS: Han-Lin Li, Shu-Cherng Fang, Way Kuo, Nianrui Lin

  KEYWORDS: Semiprimes, Factorization, Factor-Pairs Table

  JOURNAL NAME: Advances in Pure Mathematics, Vol.15 No.9, September 22, 2025

  ABSTRACT: We show that any semiprime number can be factorized as the product of two prime numbers in the form of a kernel factor pair of two out of 48 root numbers. Specifically, each natural number without factors of 2, 3, 5 and 7 can be traced back to one unique number of a total of 48 root numbers falling in [ 11, 220 ] in periods of length 210. Unlike the commonly used sieve-based methods, under no preconditions, will the proposed kernel-factor-pair-based algorithm be guaranteed to successfully factorize any given semiprime α by searching over 1/2 logα binary variables. The proposed method is well structured for factorization in breaking RSA encryption and is readily applicable for parallel computation.