A088646 a(0) = 1 and then alternately prime and composite numbers such that the successive difference is (distinct) composite and prime respectively.

1, 5, 8, 17, 22, 37, 39, 47, 54, 79, 90, 139, 152, 173, 190, 223, 242, 269, 292, 331, 360, 479, 510, 587, 624, 659, 700, 751, 794, 839, 886, 941, 994, 1051, 1110, 1201, 1262, 1327, 1394, 1481, 1552, 1621, 1694, 1787, 1866, 1951, 2034, 2129, 2218, 2281, 2378