of size n can consecutively occur in the sequence of primes.
Upon reading over their intro, I would say it's similar, but not quite. I claim that, for any gap size n, at most n gaps of size n can consecutively occur in the sequence of prime gaps. The provided paper is an attempt at proving the Twin Primes Conjecture. I suppose my claim can be very easily proven and doesn't amount to much significance other than possibly getting school kids excited about learning remainders. :tongue2: For instance, it can be easily seen from remainders after dividing by 3 that the primes 3, 5, 7 produce the only instance of 2 gaps of size 2 appearing consecutively in the sequence of prime gaps.