It takes four hours to repeat this factorization using the program Msieve on a 2200 MHz Athlon 64 processor. The value and factorization of RSA-100 are as follows: Reportedly, the factorization took a few days using the multiple-polynomial quadratic sieve algorithm on a MasPar parallel computer. Its factorization was announced on April 1, 1991, by Arjen K.
RSA-100 has 100 decimal digits (330 bits). The numbers are listed in increasing order below. An exception to this is RSA-617, which was created before the change in the numbering scheme. Later, beginning with RSA-576, binary digits are counted instead. The first RSA numbers generated, from RSA-100 to RSA-500, were labeled according to their number of decimal digits. According to RSA Laboratories, "Now that the industry has a considerably more advanced understanding of the cryptanalytic strength of common symmetric-key and public-key algorithms, these challenges are no longer active." Some of the smaller prizes had been awarded at the time. While the RSA challenge officially ended in 2007, people are still attempting to find the factorizations. As of February 2020, the smallest 23 of the 54 listed numbers have been factored. Most of the numbers have still not been factored and many of them are expected to remain unfactored for many years to come. The smallest RSA number was factored in a few days. Cash prizes of varying size, up to US$200,000 (and prizes up to $20,000 awarded), were offered for factorization of some of them. RSA Laboratories (which is an acronym of the creators of the technique Rivest, Shamir and Adleman) published a number of semiprimes with 100 to 617 decimal digits. It was created by RSA Laboratories in March 1991 to encourage research into computational number theory and the practical difficulty of factoring large integers.
The challenge was to find the prime factors of each number. In mathematics, the RSA numbers are a set of large semiprimes (numbers with exactly two prime factors) that were part of the RSA Factoring Challenge.
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