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  2. RSA Factoring Challenge - Wikipedia

    en.wikipedia.org/wiki/RSA_Factoring_Challenge

    The factoring challenge was intended to track the cutting edge in integer factorization. A primary application is for choosing the key length of the RSA public-key encryption scheme. Progress in this challenge should give an insight into which key sizes are still safe and for how long. As RSA Laboratories is a provider of RSA-based products ...

  3. RSA numbers - Wikipedia

    en.wikipedia.org/wiki/RSA_numbers

    The factoring challenge included a message encrypted with RSA-129. When decrypted using the factorization the message was revealed to be " The Magic Words are Squeamish Ossifrage ". In 2015, RSA-129 was factored in about one day, with the CADO-NFS open source implementation of number field sieve, using a commercial cloud computing service for ...

  4. Category:RSA Factoring Challenge - Wikipedia

    en.wikipedia.org/wiki/Category:RSA_Factoring...

    RSA Factoring Challenge; G. Martin Gardner; R. RSA numbers This page was last edited on 28 May 2015, at 18:00 (UTC). Text is available under the Creative ...

  5. The Magic Words are Squeamish Ossifrage - Wikipedia

    en.wikipedia.org/wiki/The_Magic_Words_are...

    The decryption of the 1977 ciphertext involved the factoring of a 129-digit (426 bit) number, RSA-129, in order to recover the plaintext. Ron Rivest estimated in 1977 that factoring a 125-digit semiprime would require 40 quadrillion years, using the best algorithm known and the fastest computers of the day. [ 6 ]

  6. Integer factorization records - Wikipedia

    en.wikipedia.org/wiki/Integer_factorization_records

    Integer factorization is the process of determining which prime numbers divide a given positive integer.Doing this quickly has applications in cryptography.The difficulty depends on both the size and form of the number and its prime factors; it is currently very difficult to factorize large semiprimes (and, indeed, most numbers that have no small factors).

  7. RSA (cryptosystem) - Wikipedia

    en.wikipedia.org/wiki/RSA_(cryptosystem)

    The security of RSA relies on the practical difficulty of factoring the product of two large prime numbers, the "factoring problem". Breaking RSA encryption is known as the RSA problem. Whether it is as difficult as the factoring problem is an open question. [3] There are no published methods to defeat the system if a large enough key is used.

  8. RSA problem - Wikipedia

    en.wikipedia.org/wiki/RSA_problem

    Breaking RSA may be as difficult as factoring, D. Brown, 2005. This unrefereed preprint purports that solving the RSA problem using a Straight line program is as difficult as factoring provided e has a small factor. Breaking RSA Generically is Equivalent to Factoring, D. Aggarwal and U. Maurer, 2008.

  9. Unsolved! - Wikipedia

    en.wikipedia.org/wiki/Unsolved!

    It also examines the RSA Factoring Challenge, a series of mathematical problems posed by the RSA Laboratories in 1991, and the Time Capsule Crypto Puzzle, a long-term cryptographic experiment devised by Ron Rivest in 1999. The author acknowledges that there are many more unsolved cryptograms in history and invites the reader to pursue them further.