Bare minimum for what conditions?For what shot distances?I will no longer hunt elk with any bullet smaller than 7mm,so to me the bare minimum would be the 7mm-08,and I would not shoot at an elk over about 250 yards.If you want to shoot elk out to over 300 yards,my bare minimum would be the 7mmremmag.Then again I do know of people that take elk and moose with the 243win,but they are very fussy about shot selection and wait for the perfect opportunity.They also kill their animals at fairly close range.