%I A005180 M0651
%S A005180 1,2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,60,61,67,71,73,
%T A005180 79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,
%U A005180 167,168,173,179,181,191,193,197,199,211,223,227,229,233,239,241
%N A005180 Orders of simple groups.
%C A005180 Officially the group of order 1 is not considered to be simple - see 
               for example Rotman, Group Theory.
%D A005180 C. Cato, The orders of the known simple groups as far as one trillion, 
               Math. Comp., 31 (1977), 574-577.
%D A005180 J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, 
               ATLAS of Finite Groups. Oxford Univ. Press, 1985.
%D A005180 M. Hall, Jr., A search for simple groups of order less than one million, 
               pp. 137-168 of J. Leech, editor, Computational Problems in Abstract 
               Algebra. Pergamon, Oxford, 1970.
%D A005180 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A005180 T. D. Noe, <a href="b005180.txt">Table of n, a(n) for n=1..1000</a>
%H A005180 M. Aschbacher, <a href="http://www.ams.org/bull/1997-34-01/S0273-0979-97-00703-9/
               S0273-0979-97-00703-9.pdf">Review of "Classification of the finite 
               simple groups, No. 2" by D. Gorenstein, R. Lyons & R. Solomon</a>
%H A005180 Dept. of Pure Math., Univ. Sheffield, <a href="http://www.shef.ac.uk/
               ~puremath/theorems/simple.html">The Classification of Finite Simple 
               Groups</a>
%H A005180 D. Gorenstein, R. Lyons & R. Solomon, <a href="http://www.ams.org/online_bks/
               surv401">The Classification of the Finite Simple Groups</a>, AMS 
               Books Online, Providence RI 1994.
%H A005180 D. Gorenstein, R. Lyons & R. Solomon, <a href="http://www.ams.org/online_bks/
               surv402">The Classification of the Finite Simple Groups, Number 2</
               a>, AMS Books Online, Providence RI 1996.
%H A005180 R. Solomon, <a href="http://www.ams.org/bull/2001-38-03/S0273-0979-01-00909-0/
               S0273-0979-01-00909-0.pdf">A Brief History Of The Classification 
               Of The Finite Simple Groups</a>
%H A005180 R. A. Wilson et al., <a href="http://for.mat.bham.ac.uk/atlas/html">ATLAS 
               of Finite Group Representations</a>
%H A005180 <a href="Sindx_Gre.html#groups">Index entries for sequences related to 
               groups</a>
%Y A005180 Cf. A000001, A001228. Union of {1}, A000040 and A001034.
%Y A005180 Sequence in context: A117095 A054403 A092579 this_sequence A118848 A094742 
               A110923
%Y A005180 Adjacent sequences: A005177 A005178 A005179 this_sequence A005181 A005182 
               A005183
%K A005180 nonn,nice,easy
%O A005180 1,2
%A A005180 N. J. A. Sloane (njas(AT)research.att.com), R. K. Guy