a(n) is the least prime > a(n-1) that is a quadratic residue mod a(n-1).

Terms

a(0) =2a(1) =3a(2) =7a(3) =11a(4) =23a(5) =29a(6) =53a(7) =59a(8) =71a(9) =73a(10) =79a(11) =83a(12) =109a(13) =113a(14) =127a(15) =131a(16) =151a(17) =167a(18) =173a(19) =179a(20) =191a(21) =193a(22) =197a(23) =223a(24) =227a(25) =239a(26) =241a(27) =251a(28) =263a(29) =269