a(n) = least prime > (5/3)*a(n - 1)*a(n - 3)/a(n - 2), with a(1) = 2, a(2) = 3, a(3) = 5.

Terms

a(0) =2a(1) =3a(2) =5a(3) =7a(4) =11a(5) =17a(6) =19a(7) =23a(8) =37a(9) =53a(10) =59a(11) =71a(12) =107a(13) =149a(14) =167a(15) =211a(16) =317a(17) =419a(18) =467a(19) =593a(20) =887a(21) =1171a(22) =1307a(23) =1657a(24) =2477a(25) =3257a(26) =3637a(27) =4621a(28) =6899a(29) =9059