Current State of The Art
See also: integer factorization recordsThe most difficult integers to factor in practice using existing algorithms are those that are products of two large primes of similar size, and for this reason these are the integers used in cryptographic applications. The largest such semiprime yet factored was RSA-768, a 768-bit number with 232 decimal digits, on December 12, 2009. This factorization was a collaboration of several research institutions, spanning two years and taking the equivalent of almost 2000 years of computing on a single-core 2.2 GHz AMD Opteron. Like all recent factorization records, this factorization was completed with a highly optimized implementation of the general number field sieve run on hundreds of machines.
Read more about this topic: Integer Factorization
Famous quotes containing the words current state of, current, state and/or art:
“Reputation runs behind the current state of affairs.”
—Mason Cooley (b. 1927)
“You are the current of the frozen stream,
Shadow invisible, ambushed and vigilant flame.”
—Allen Tate (1899–1979)
“Having behind us the producing masses of this nation and the world, supported by the commercial interests, the labor interests, and the toilers everywhere, we will answer their demand for a gold standard by saying to them: You shall not press down upon the brow of labor this crown of thorns, you shall not crucify mankind upon a cross of gold.”
—Administration in the State of Neva, U.S. public relief program (1935-1943)
“A more problematic example is the parallel between the increasingly abstract and insubstantial picture of the physical universe which modern physics has given us and the popularity of abstract and non-representational forms of art and poetry. In each case the representation of reality is increasingly removed from the picture which is immediately presented to us by our senses.”
—Harvey Brooks (b. 1915)