Searching Old Tweet using API


Hi, i want to ask,

if we make an web twitter-based app, say that for our research purpose, and we need to search backwards as long as possible, how i do that ?

because we’ve try using REST API v1.1 , and if we search, say, on 10 March 2014 14.00 PM, we search for keyword #something , and between 13.00 PM - 14.00 PM there is 150 tweet mentioning #something, i couldn’t get data for #something before 13.00 PM, so how i could do that ?

Do streaming API could do this ?