arithmetic progressions of primes

ScienceNow has an article about a new result in number theory on the distribution of arithmetic progressions of primes, that is, sequences of primes who differ by a constant number from step to step. The reason I post it here is they used ergodic theory to prove the result, although the peer review jury is still out on its correctness. That’s the problem with mathematics sometimes — you get stuck in your own esoteric corner and it’s hard to validate results.