Researchers have decomposed a 768-bit number with 232 decimal places into its two prime factors and published a paper with their results. The number is the string released as "RSA-768" under the now defunct RSA Challenge. As a result, RSA encryptions with 768-bit keys must, from now on, be considered cracked.
http://www.h-online.com/security/news/item/768-bit-RSA-cracked-898986.html [2]