a(0)=0, a(1)=2, a(n) = smallest prime > a(n-1)+a(n-2).

Terms

a(0) =0a(1) =2a(2) =3a(3) =7a(4) =11a(5) =19a(6) =31a(7) =53a(8) =89a(9) =149a(10) =239a(11) =389a(12) =631a(13) =1021a(14) =1657a(15) =2683a(16) =4349a(17) =7039a(18) =11393a(19) =18433a(20) =29833a(21) =48271a(22) =78121a(23) =126397a(24) =204521a(25) =330943a(26) =535481a(27) =866431a(28) =1401937a(29) =2268377