a(n) = least positive integer > a(n-1) and not a(i)*a(j)+2 for 1<=i<j<=n, with initial terms 2,3.

Terms

a(0) =2a(1) =3a(2) =4a(3) =5a(4) =6a(5) =7a(6) =9a(7) =11a(8) =13a(9) =15a(10) =18a(11) =19a(12) =21a(13) =25a(14) =27a(15) =31a(16) =33a(17) =34a(18) =36a(19) =39a(20) =42a(21) =43a(22) =45a(23) =48a(24) =49a(25) =50a(26) =51a(27) =53a(28) =55a(29) =58