a(n) is the smallest lesser of twin prime p, such that prime(2 + p) - prime(p) = 2n (cf. A096474).

Terms

a(0) =3a(1) =17a(2) =11a(3) =41a(4) =71a(5) =101a(6) =29a(7) =569a(8) =881a(9) =137a(10) =1151a(11) =521a(12) =1289a(13) =2027a(14) =10331a(15) =1229a(16) =3461a(17) =461a(18) =2549a(19) =2129a(20) =6569a(21) =6131a(22) =14387a(23) =34157a(24) =5657a(25) =4259a(26) =44621a(27) =17387a(28) =25301a(29) =11159