I would agree with Warren, really fresh eggs have a higher water content which makes it harder to peel off when boiled. Use your oldest eggs for hardboiling or simply put some back and let them age for 7-10 days. When you break open a very fresh egg you may see what looks like a one inch long 1/8" wide white looking substance, this is simply an indication that the egg is very fresh, some people think this is sperm from the rooster but its purpose is simply to hold the yolk in the center of the egg white and when it start drying up you no longer see it but its still there. I heard tell of one man that said he threw away all his eggs with this in there and he ate the others. All he was doing was throwing away the fresher eggs and eating his older ones. What a waste. Have a great day.