This question is a sort of a follow-up to these two: [reference on classfication of multiply transitive permutation groups](https://mathoverflow.net/questions/222639/reference-on-classfication-of-multiply-transitive-permutation-groups) and [Multiply transitive groups, continued](https://mathoverflow.net/questions/161280/multiply-transitive-groups-continued)


The question is simply: is it true that the set of $n,$ for which any doubly transitive subgroup of $S\_n$ is one $S\_n$ or $A\_n$ is of density one (since any doubly transitive group is either affine or almost simple, this seems clear, but I might be missing something silly).



More on multiply transitive permutation groups
Yes. In the paper 


P.J. Cameron, P.M. Neumann, and D.N. Teague, On the degrees of primitive permutation groups, Math. Z. 180 (1982), 141-149,


the stronger statement is proved that, for almost all $n$, the only primitive permutation groups of degree $n$ are $A\_n$ and $S\_n$. (By a fortunate coincidence I saw a reference to this in a paper I was reading a day or two ago.)


