I learned this tip from a foodie friends of mine. She heard about steaming eggs rather than boiling them to make them easier to peel.
I experimented with steaming them also and will never go back to boiling eggs.
Just steam the eggs in a vegetable steamer set over boiling water for 10 minutes. I cooled and peeled mine right away, my friend took hers off the heat and let them set for an additional 10 minutes before peeling. Both ways worked a treat.
I took one egg out of the steamer after 5 minutes and had the perfect soft boiled <steamed> egg.
I found that if I cooled and peeled the eggs right away, rather than waiting the additional 10 minutes they didn't develop grey around the yolk.
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4th of July