A049882 a(n)=number of distinct sums of 4 of the first n primes.

1, 5, 13, 23, 32, 43, 57, 69, 84, 98, 110, 125, 139, 155, 170, 187, 202, 214, 230, 246, 262, 281, 299, 316, 330, 344, 357, 379, 401, 420, 437, 459, 477