As others have stated - won't leave the barrel. Given a lead bullet,
the distance will depend on the the diameter to which the bullet was
sized after casting/swaging. Larger bullets not as far, smaller
bullets only a small amount farther after the rifling begins engraving
the lead surface.
This is one of the error conditions that can occur during reloading,
particularly with light target loads.

On Mon, 30 Jul 2007 23:37:02 -0700, "Roger Shoaf"
wrote:

Assume one were to take a .357 revolver and load it with shells that were
reloaded with a primer only and without any powder.

How far would the bullet get, only propelled by the primer charge?

If it makes a difference let's assume that the bullets are standard lead
round nose (no metal jacket.