a(n) is the least m > 1 such that (prime(n)#)^n - m is prime.

Terms

a(0) =5a(1) =7a(2) =19a(3) =23a(4) =41a(5) =163a(6) =67a(7) =257a(8) =83a(9) =109a(10) =43a(11) =359a(12) =293a(13) =647a(14) =277a(15) =1567a(16) =983a(17) =419a(18) =1723a(19) =83a(20) =103a(21) =3089a(22) =719a(23) =733a(24) =1723a(25) =457a(26) =331a(27) =2729a(28) =3389a(29) =1123