Are you SURE you're not malware?
I just double checked on my laptop follow these steps and unless you ARE a bad bot it should work for you.
Step #1 Google search Photobucket.
Step #2 Click the main link it will say Photobucket with Photobucket.com/ written directly under it.
Step #3 Click the login icon in the upper right corner.
Step #4 Will be your log in options. It says Login to Photobucket gives you the choice of logging in through your facebook or twitter accounts then it says OR and has Email OR user name and under that it has password and log in and remember me box. You want to click the very next line that says "Forgot user name or password" Click on this spot.
Step #5 A new page opens that says "Need Help Logging In? and below it are listed 3 more links to click on. The first is "I don't know my password" Next "I don't know my user name" and last is "I can't access the email I signed up with"
Click the link you want to use and follow the instructions from there and as long as you ARE in fact the REAL Mr.Spam In A Can you'll be fine. However if you are a bad bot bent on world domination and the total enslavement of man kind then you're screwed as you should be!
Seriously though the above SHOULD work for you man but you may need a laptop or desktop I'm not sure if the Photobucket mobile thing works the same way. I literally was just tripple checking on the Photobucket site as I typed this out for you. I really hope this helps, if not I'm totally stumped, maybe look for a contact us option and see if you can talk to a person if the above for some reason doesn't work for you.