a(1) = 3; for n > 1 a(n) is the least prime of form a(n-1) + k*prime(n-1) with k > 0.

Terms

a(0) =3a(1) =5a(2) =11a(3) =31a(4) =59a(5) =103a(6) =181a(7) =283a(8) =359a(9) =727a(10) =1249a(11) =1373a(12) =1447a(13) =1693a(14) =1951a(15) =2609a(16) =2927a(17) =3163a(18) =3407a(19) =3541a(20) =3967a(21) =4259a(22) =4733a(23) =5231a(24) =6121a(25) =6703a(26) =7309a(27) =7927a(28) =8783a(29) =9001