We've been told that old eggs are better, but after a lot of reading about eggs and boiling them I became convinced that the method we now use to boil them makes them easier to peel.

We put in about 1/4 teaspoon of salt into boiling water and then drop in the eggs.  Then about 6 minutes after the water starts to boil the eggs are removed and placed in ice water.  Sometimes the shell comes completely off, other times it doesn't but you can tell that its loose and at that point you should remove it as I did in the video.

Some eggs are sprayed or treated to replace the coating a hen puts on them.

Read this article for a full explanation.

https://slate.com/culture/2012/09/peeling-hardboiled-eggs-why-are-some-eggs-easier-to-peel-than-others-blame-carbon-dioxide.html

"Just before an egg is laid, the hen applies a protective coating to the shell called a cuticle or bloom, which slows the rate of CO₂ loss and prevents contamination from microorganisms. The Agriculture Department requires that all inspected eggs be washed and sanitized, a process that removes the cuticle. However, if you buy your eggs from a farmers’ market or farm shop, the cuticle probably hasn’t been washed away, which means that the eggs will take a few days longer than their commercial counterparts to become easy to peel.

But you’re not always home free if you buy your eggs from the grocery store. About 10 percent of commercially produced eggs are sprayed with an odorless, tasteless mineral oil to replace the cuticle. The mineral oil seals the pores in the eggshell and prevents CO₂ from escaping, which means that oiled eggs will never peel well. Unfortunately, processors are not required to indicate if their eggs have been coated with oil, but a slightly shiny surface is a telltale sign."