Those of you who enjoyed our recent post on unsolved problems may be interested to know that a new result in the spirit of the Goldbach conjecture has just been announced. Terence Tao (who else?) released a paper yesterday proving that every odd integer greater than 1 is the sum of at most five primes. The work remains to be peer reviewed but the probability that it’s correct is pretty high. Tao has a nice discussion and summary of his approach on his blog — although it employs some powerful modern mathematical tools, hopefully the outline is apparent!