The smallest positive integer that google has never heard of
I recently discovered a wonderful mathematical podcast called The Math Factor from the University of Arkansas and in their current episode they pose the following question.
“What is the smallest positive counting number that Google can’t find”
Let’s try a few searches to see what we can find:
- ’10’ gives 15,360,000,000 hits so that is definitely not what we are looking for!
- ‘35672’ gives 809,000 hits – better but still nowhere near
- ‘567906’ gives 6,400 hits – getting closer!
As you might expect it is easy to come up with any old example of an integer that google doesn’t know about but the smallest will be somewhat harder to find. For example as I write this there are no hits for ‘56790636782356487252’ but that is rather large (and, thanks to this page, will probably result in a google hit soon)!
Can you do any better? If so please do not leave a comment here telling me what it is and please do not blog about it on your own site because, as soon as you do, it will lose the very property that makes it interesting. Instead, please send a message to the guys at Math Factor by using this link and tell them Walking Randomly sent you!
Update (8th September 2008): Michael Lugo has more to say on this question over at God Plays Dice.