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I just did a search from the home page (www.google.com) for widget, and this is the URL:
http://www.google.com/search?hl=en&ie=UTF-8&oe=UTF-8&q=widget and the result page starts with
Results 1 - 100 of about 1,280,000. Search took 0.42 seconds. For me, the number of results is set to 100 (as you can see in the line above), but it doesn't show in the URL. The extra "num=x" string is added when you search from a SERP (new search or the 'next' page).