Primes arising as the arithmetic mean of first n terms of A090918.

Terms

a(0) =3a(1) =5a(2) =7a(3) =11a(4) =17a(5) =23a(6) =31a(7) =43a(8) =73a(9) =101a(10) =131a(11) =157a(12) =191a(13) =239a(14) =293a(15) =379a(16) =571a(17) =757a(18) =937a(19) =1123a(20) =1301a(21) =1481a(22) =1697a(23) =1907a(24) =2113a(25) =2371a(26) =2617a(27) =2857a(28) =3121a(29) =3389