PRIME NUMBERS: Nature has an article that briefly discusses the distribution of prime numbers. The idea presented is interesting, and one I've thought of before, but I'm not yet sure where it can lead. Statistically analyzing the first 1,000 or 1,000 trillion prime numbers could be an interesting exercise, but unless it leads to a method for exhaustively predicting larger primes, what good is it? If prime numbers are distributed randomly, then there are an infinite number of infinitely long sequences of primes that will fit an infinite number of patterns. Perhaps one such sequence starts with the number 1, and this is what they have stumbled upon (although even that I doubt).
I am not a number theorist, but I play one on TV.