Constant Authorize log-in attempt?
You have have a Dynamic IP from your ISP.
This means that every time your router is restarted, it will get a different IP address.
The opposite of this is a Static IP, where each time you connect to the internet (router restart) your IP address remains the same.
Even with a Dynamic IP address, your email Authentication (or Mobile) eventually will learn the range of IPs and stop asking you to authenticate. Just needs a bit of patience. Good luck.
ArenaNet Communications Manager
It is correct that with time your account will recognize the IPs and not require authorization. But really, I’d rather authorize every single time than run the risk that someone is getting access who should not — and I seem to be required to do that “every single time” authorization, actually -- so I’m looking on the bright side about authentication!
Communications Manager
Guild & Fansite Relations; In-Game Events
ArenaNet