In this note we use e-values (a non-Bayesian version of Bayes factors) in the context of multiple hypothesis testing assuming that the base tests produce independent e-values. Our simulation studies and theoretical considerations suggest that, under this assumption, our new algorithms are superior to the known algorithms using independent p-values and to our recent algorithms using e-values that are not necessarily independent.The version of this paper at http://alrw.net/e (Working Paper 4) is updated most often.