International Journal of Mathematics and Mathematical Sciences
Volume 3 (1980), Issue 4, Pages 797-799
doi:10.1155/S0161171280000592

A lower bound on the number of finite simple groups

Abstract

Let S(n)=|{m<n: there is a (non-cyclic) simple group of order m}|. Investigation of known families of simple groups provides the lower bound S(n)≫n1/4/logn.