Smallest prime such that the difference of successive terms is strictly increasing.

Terms

a(0) =2a(1) =3a(2) =5a(3) =11a(4) =19a(5) =29a(6) =41a(7) =59a(8) =79a(9) =101a(10) =127a(11) =157a(12) =191a(13) =227a(14) =269a(15) =313a(16) =359a(17) =409a(18) =461a(19) =521a(20) =587a(21) =659a(22) =733a(23) =809a(24) =887a(25) =967a(26) =1049a(27) =1151a(28) =1259a(29) =1373