Finally! You can request that sketchy blue badge by going to this page https://verification.twitter.com/request
But make sure to read the requirements first https://support.twitter.com/articles/20174631
Twitter experts will tell you unless you’re a business or a celebrity, then don’t bother with it as they just deny all personal requests. However, there is no fee so just go for it.
"Twitter Verification is now Available to Public Requests!",