The round end, where the air gap is, but this only stops them cracking when you boil them.
As Caryl says, it is the price you have to pay for having fresh eggs!
We try to get a bit of the shell off then get an appropriately sized dessert spoon between the shell and egg and try and dig them out this way by going around the shell.
The Chinese do a salted duck egg, which you boil on top of the rice, these are nigh on impossible to peel, and you have to resort to chopping it in half length wise with a chopper and then getting the dessert spoon in there to get them out - before you eat them you have to spend some time getting the little bits of shell off them, nothing spoils a good egg like biting down on a bit of shell!