I'm an amateur and I was fooling around with things, seeing how many ways even numbers can be represented by adding two primes together (from the notion that all even numbers can be) and I saw a trend, then I graphed it and saw the bands and gaps... especially when I went out to 10,000
PS all counts are unique where p1<=p2
example: 38=7+31 , 19+19 but 31+7 is not included in the count so the count for 38 is 2