I’m having the same problem. I’ll file a support ticket, but for the sake of those searching the forums for keywords, here is the full text of the messages on the DO login page and in their email messages. This way a search for any piece of text from those messages should pull up this thread.
Here’s the message as it appeared on my browser, from the web page “https://cloud.digitalocean.com/login/verify”.
Verify it's you
We've sent a verification code to your email.
Enter the code from the email in the field below.
Enter 6 digit code
[x] Trust this device for 60 days
Didn't receive an email? Try again or contact support
Here is the first email message:
From: DigitalOcean <firstname.lastname@example.org>
Subject: Please verify that it’s you
Date: Wed, 09 Oct 2019 19:27:18 +0000
Please verify that it’s you
Your sign in attempt seems a little different than
usual. This could be because you are signing in
from a different device or a different location.
If you are attempting to sign-in, please use the
following code to confirm your identity:
Here are the details of the sign-in attempt:
Wednesday, October 10/09/19 at 14:27 CDT
IP Address: 184.108.40.206
Operating system: Ubuntu Chromium 64-bit
If this wasn’t you, please reset your password.
Like always, if you have any questions please
respond to this email to open a support ticket.
I logged out, closed the browser, and tried again. Despite a time difference of only a few seconds, I got an identical message on the browser (“Verify it’s you…We’ve sent a verification code…”). A few minutes later, a second e-mail arrived. The second email was identical to the first, except for the six-digit code and these three lines:
Date: Wed, 09 Oct 2019 19:36:44 +0000
Wednesday, October 10/09/19 at 14:36 CDT
Good luck to those who are also having this problem. Again, I’m handling it by filing a support ticket.