The 768-bit RSA algorithm has been factored. The team's paper states in part,
If we are optimistic, it may be possible to factor a 1024-bit RSA modulus within the next decade by means of an academic effort on the same limited scale as the effort presented here. From a practical security point of view this is not a big deal, given that standards recommend phasing out such moduli by the end of the year 2010.
In an unusual footnote (literally), the cryptographers included dialog from Quentin Tarantino film Inglourious Basterds among their reference sources.
This present accomplishment represents a cryptography milestone but not a practical threat to VeriSign's roots or systems...