when i go to create new adsense account it ask for a primary domain what to do b/c i don't have domain
google rejected lot of applications recently that were submitted using blogger or other free blogs. you need your own domain which is atleast 6 months old to be aproved.
Try signing-up with hubpages.com, and they have a link through which you can apply to google. hubpages.com is an article syndication site where you can publish your articles and monetize them. They share the adsense revenue with you.