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

2,1

Comments

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

Links

Table of n, a(n) for n=2..26.

Prog

(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

Crossrefs

Cf. A002884.

Sequence in context: A334593 A293596 A301977 * A246794 A334030 A285333

Adjacent sequences: A085427 A085428 A085429 * A085431 A085432 A085433

Keyword

nonn,more

Author

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

Extensions

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

Status

approved