For n > 0, a(n+1) is the least prime not already used such that abs(a(n+1)-a(n))/2n is prime.

Terms

a(0) =3a(1) =7a(2) =19a(3) =31a(4) =47a(5) =17a(6) =41a(7) =13a(8) =61a(9) =97a(10) =37a(11) =103a(12) =151a(13) =73a(14) =157a(15) =67a(16) =131a(17) =29a(18) =101a(19) =367a(20) =167a(21) =83a(22) =919a(23) =137a(24) =233a(25) =383a(26) =227a(27) =389a(28) =109a(29) =283