A049880 a(n)=number of distinct sums of 2 of the first n primes.

1, 3, 6, 10, 13, 17, 21, 25, 29, 35, 39, 45, 50, 54, 59, 63, 70, 75, 81, 86, 91, 97, 102, 109, 114, 119, 125, 130, 135, 143, 148, 154, 162, 168, 175, 181, 187, 195, 200, 206, 213, 218, 224, 230, 236, 242, 249, 258, 263