a(n) is the least prime p such that 2-adic valuation of p-3 is n.

Terms

a(0) =2a(1) =5a(2) =7a(3) =11a(4) =19a(5) =163a(6) =67a(7) =131a(8) =1283a(9) =6659a(10) =25603a(11) =10243a(12) =4099a(13) =57347a(14) =114691a(15) =32771a(16) =65539a(17) =3014659a(18) =262147a(19) =5767171a(20) =5242883a(21) =14680067a(22) =71303171a(23) =109051907a(24) =218103811a(25) =436207619a(26) =335544323a(27) =6308233219a(28) =268435459a(29) =9126805507