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Archive for December, 2006

Most numbers are boring, asymptotically speaking.

Let f(n) be the number of Google hits for the integer n. Then f(578) is about 100 million, and f(1156), that is, the number of hits for a number twice as big, is about 40 million, a bit less than half as big. Doubling the input continues to halve the output: f(2312) is […]

On the Popularity of Certain Numbers.

I searched for each number between 1 and 500 on Google, and recorded the (estimated) number of hits. I’m not aware of anyone having done this before; in any case, I made a chart: Click on the above chart to see a bigger version. You can also look more closely at the first hundred […]