From New Scientist
In other prime number news, another mathematician has made progress on an equally intractable prime problem first posed by Christian Goldbach in 1742. Golbach suggested that every even number greater than 2 is the sum of two primes. Now Harald Helfgott of the École Normale Supérieure in Paris, France, has proved a related problem: the odd Goldbach conjecture, which states that every odd number above 5 is the sum of three primes.
A proof of Goldbach’s conjecture would also prove the odd version, since you can then take an even number formed of two primes and add 3 to it to get an odd number formed of three primes. But Helfgott’s proof is unlikely to help mathematicians go in the other direction, says Terence Tao of the University of California, Los Angeles – so Goldbach’s original problem remains unsolved.
Also see Scientific American Goldbach Variations.