If and when your website appears on search engines is up to the search engines themselves. With Google, for example, it helps to register your website.
Google: http://www.google.de/addurl
Yahoo: http://de.search.yahoo.com/info/submit
Bing: http://www.bing.com/webmaster/submitsitepage.aspx
You will find instructions on how to register with the Google Search Console and many more tips on how to optimize your domain in our blog:
How to: Login to the Google Search Console
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