I used to have the same issue! I was digging all day to find a solution, and at the end (of course) it was very simple!
My w3 total cache troubles were caused by another cashing plugin I installed before! It was this one:
Performance Optimizer Plugin for Wordpress or also called IBinc Performance Optimizer Plugin... I bought it from here - https://codecanyon.net
After a while, I've decided to add CDN to my blog and I choose to use W3 Total Cache. So I uninstalled IBinc Performance Optimizer Plugin, BUT!!!! One folder left which caused all the trouble! It is in wp-content folder and it called "cache". IBinc was storing all the information about the caching of the pages and the feeds there in files with .dat format! After the De-installation the folder left (the developers should be aware of this issue!) - and the data inside was causing the conflict with w3 total cache!
So I deleted this folder, installed W3 Total Cache (AGAIN!) and.... O! Miracle - it was working!
Conclusion: Be very careful what type of WP plugins are you installing - AND be cautions when you are removing them - trace some footprints they might have left and remove them ASAP!
Hope that helps!
Here is another solution: https://wordpress.org/support/topic/wp-admin-not-found-error/
You must also know!
W3 Total Cache has a conflict with:
1. Use Google Libraries (do not use it with W3 Total Cache CDN function)
2. With some premium plugins - such as https://www.tipsandtricks-hq.com/ - WP eStore
3. With this one as well - https://tribulant.com/plugins/view/1/wordpress-newsletter-plugin
The main reason the page is white is probably and in most cases conflict(s) with particular plugin(s)....
Here is one interesting article about the conflicts and the problems with WordPress plugins - http://tutorials7.com/wordpress-plugins-faq.html