Another solution [1] was on HN a while ago. Lower the cold eggs into boiling water, boil for 7-9 minutes for desired yolk, then plunge into ice water. We regularly boil 2-4 dozen eggs a week this way and almost never get a stubborn peeler, whether the eggs are old or fresh, store-bought or backyard.
[1] http://www.seriouseats.com/2014/05/the-secrets-to-peeling-ha...