earlier, I was bored out of my mind and wrote down the sum of twin prime pairs (http://oeis.org/A054735). Looking for patterns, I observed that all terms in this sequence above the 3rd term are equal to the sum of 2, other, not necessarily unique terms in this sequence. Turns out it also applies to consecutive prime sums (above the 4th term) (http://oeis.org/A001043) Do you have any idea why this is, or any insight as to where to look for guidance?
