a(1) = 2, a(2) = 3; thereafter, a(n) = a(n-1) + sum of prior prime terms.

Terms

a(0) =2a(1) =3a(2) =8a(3) =13a(4) =31a(5) =80a(6) =129a(7) =178a(8) =227a(9) =503a(10) =1282a(11) =2061a(12) =2840a(13) =3619a(14) =4398a(15) =5177a(16) =5956a(17) =6735a(18) =7514a(19) =8293a(20) =17365a(21) =26437a(22) =61946a(23) =97455a(24) =132964a(25) =168473a(26) =203982a(27) =239491a(28) =275000a(29) =310509