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

Terms

a(0) =3a(1) =4a(2) =5a(3) =6a(4) =7a(5) =8a(6) =9a(7) =10a(8) =12a(9) =13a(10) =15a(11) =16a(12) =19a(13) =21a(14) =24a(15) =25a(16) =28a(17) =31a(18) =33a(19) =35a(20) =36a(21) =39a(22) =40a(23) =43a(24) =45a(25) =46a(26) =48a(27) =49a(28) =53a(29) =55