For a Google search, tho, it's all about page 1; according to one study, "sites surveyed received more than 95% of all their non-branded natural search traffic from page-one results." There's a lively industry around getting a site onto Google's first page. Because if you're not on page 1, you are ... what? "In the wilderness"? "At the back of the pack"?
Links to prominent services like Facebook, Twitter, LinkedIn or Flickr carry a lot of weight with Google, and can push unwanted content to the Google Ghetto, otherwise known as page two.