A085430 a(n) is the minimal m such that the group GL(m,2) has an element of order n.

2, 2, 3, 4, 4, 3, 5, 6, 6, 10, 5, 12, 5, 4, 9, 8, 8, 18, 7, 5, 12, 11, 7, 20, 14

Offset: 2

Author

Yuval Dekel (dekelyuval(AT)hotmail.com), Aug 18 2003

Keywords

• nonn
• more

Comments

For n > 1, a(prime(n)) = A014664(n). Also, a(n) <= n. - Eric M. Schmidt, May 17 2013

Crossrefs

Cf. A002884.

Programs

GAP

A085430 := function(n) local m; if IsPrime(n) and n>2 then return Order(2*Z(n)^0); fi; m := 1; while true do if ForAny(ConjugacyClasses(GL(m,2)), cc->Order(Representative(cc))=n) then return m; fi; m := m + 1; od; end; # Eric M. Schmidt, May 17 2013

Extensions

Sequence extended and corrected by Eric M. Schmidt, May 17 2013