Anti-elite primes (A128852) that are not prime factors of Fermat primes (A023394).

Terms

a(0) =2a(1) =13a(2) =97a(3) =193a(4) =241a(5) =673a(6) =769a(7) =2689a(8) =5953a(9) =8929a(10) =12289a(11) =40961a(12) =49921a(13) =61681a(14) =101377a(15) =286721a(16) =414721a(17) =417793a(18) =550801a(19) =786433a(20) =1130641a(21) =1376257a(22) =1489153a(23) =1810433a(24) =3602561a(25) =6942721a(26) =7340033a(27) =11304961a(28) =12380161a(29) =15790321