As above, BC is very important. Weight of a bullet depends on what you want to do when you get out a couple of KM. If it is just targets, then bullet weight is not important since you don't need the retained energy.
As I recall there is a 50 cal bullet (BMG) that literally falls out of the sky as soon as velocity drops off at around 1000m. This is done with the design of the bullet that becomes unstable below a certain velocity, tumbles and looses velocity very fast.
Something seems odd about this thread, that notwithstanding:
If the 338LM can do it, the 338RUM likely can as well.
The 50 BMG dose not fall out of the sky at 1000m....In fact it hits almost like a 460 Wby at that range! The longest sniper kill in history (2430 metres) was made by a 50 bmg....A Canadian no less!
Interesting No??!!!