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

Terms

a(0) =2a(1) =7a(2) =19a(3) =31a(4) =41a(5) =43a(6) =53a(7) =59a(8) =67a(9) =73a(10) =79a(11) =89a(12) =97a(13) =101a(14) =107a(15) =127a(16) =139a(17) =151a(18) =163a(19) =173a(20) =179a(21) =193a(22) =197a(23) =223a(24) =241a(25) =251a(26) =283a(27) =293a(28) =307a(29) =313