A088637 - OEIS

A088637

a(1) = 1, a(n+1) = a(n) + smallest prime not added earlier if a(n) is noncomposite else a(n+1) = a(n) + the smallest composite number not added earlier.

1, 3, 6, 10, 16, 24, 33, 43, 48, 60, 74, 89, 96, 112, 130, 150, 171, 193, 204, 228, 253, 279, 306, 334, 364, 396, 429, 463, 476, 511, 547, 564, 602, 641, 660, 700, 742, 786, 831, 877, 900, 948, 997, 1026, 1076, 1127, 1179, 1233, 1288, 1344, 1401, 1459, 1490