http://www.wired.com/wiredscience/2013/11/prime/ This seems really counter-intuitive and entirely odd. But it's usually the counter-intuitive stuff in science and math that I've always felt was the most fascinating. Unless a mistake was made, no two consecutive prime numbers can ever differ by more than 600.
Not quite, no. You're thinking of the prime gap, and while there are results about that, the gap between a prime p and the next largest prime tends to be about ln p (by the Prime Number Theorem): http://en.wikipedia.org/wiki/Prime_gap What the result says is that there are infinitely many consecutive prime numbers that are separated by, at most, 600. This is relatewd to the twin primes conjecture, which states that there are infinitely many prime numbers that are separated by 2 (3 and 5, for instance, or 11 and 13) We think there are infinitely many of them, but the fact that we have gotten the bound down to 600 is a good start.
