Primes introducing new second differences in A036263.

Terms

a(0) =3a(1) =5a(2) =7a(3) =11a(4) =29a(5) =31a(6) =113a(7) =127a(8) =139a(9) =149a(10) =509a(11) =523a(12) =541a(13) =907a(14) =1069a(15) =1087a(16) =1151a(17) =1327a(18) =1361a(19) =1543a(20) =1669a(21) =1933a(22) =1951a(23) =2971a(24) =2999a(25) =3163a(26) =5381a(27) =5749a(28) =6421a(29) =7963