Everyone in this thread is taking this WAY too seriously. Eggcrack is not the problem. Your input is. In order to run a good cracking job you will need AT LEAST 1,000 WORKING HTTPS proxies. Once you have enough proxies, make sure you don't load too many users/passes into eggcrack. You want a nice ratio. Think of it math-wise.
500 accounts + 100 password list.
500x100=50,000 requests. If each proxy supports 10 logins before becoming useless for a few hours you need an estimated 5,000 proxies. This doesn't include re-checking and other duplicated requests. So you'll probably need more.
What about 500 usernames with 10 passwords? 5,000 requests. Given the 10 logins you'll need ~500 proxies (again, this is a low estimate). You'll go through the list faster. If the 10 passwords don't work, wait a few hours so the proxies will work again, then run through the list WITH A NEW PASSWORD LIST. Repeat until you've cracked some accounts.