Least k such that factorials have exactly n distinct residues mod k.

Terms

a(0) =1a(1) =2a(2) =3a(3) =5a(4) =7a(5) =11a(6) =22a(7) =25a(8) =55a(9) =13a(10) =26a(11) =17a(12) =34a(13) =57a(14) =76a(15) =95a(16) =23a(17) =46a(18) =29a(19) =58a(20) =31a(21) =62a(22) =93a(23) =155a(24) =319a(25) =37a(26) =74a(27) =129a(28) =41a(29) =82