Can you eat 2 week old hard boiled eggs?

Excuse me, but I was wondering if you could shed some light on a matter of concern for me. I've come across some hard-boiled eggs that are approximately two weeks old and I'm hesitant to consume them. I'm aware that eggs are perishable, but I'm unsure if the boiling process alters their shelf life in any significant way. Would it be SAFE for me to eat these 2-week-old hard-boiled eggs, or should I discard them to avoid any potential health risks? Your insight on this matter would be greatly appreciated.