I tried to log into my facebook account and it asked me for my mobile number, I picked a random number I just happened to see on TV, it was even a 1-800 number.
I choose to receive a text for my verification. I do not own a mobile phone.
Then I used what I read on the previous post.. Text the letter F to 32665... 1st and wait for your confirm code... and it works or it did for me. Again I do not own a mobile phone so I used a friends and simply typed the letter F and sent it to 32665.
Within 10 seconds I received a confirmation code and entered it into the pop up on facebook that wanted the code and my account was restored and I have access again.
My buddy has a facebook account and has used his phone to verify his account. I did this over a week ago and he has had no issues with his account and I have not had any issues with my account since.
Hope this helps.