Composite numbers k such that A006577(k) sets a new record.

Terms

a(0) =4a(1) =6a(2) =9a(3) =18a(4) =25a(5) =27a(6) =54a(7) =108a(8) =129a(9) =171a(10) =231a(11) =327a(12) =649a(13) =703a(14) =871a(15) =1161a(16) =2223a(17) =2463a(18) =2919a(19) =3711a(20) =6171a(21) =10971a(22) =13255a(23) =17647a(24) =23529a(25) =26623a(26) =34239a(27) =35655a(28) =52527a(29) =77031