## The smallest positive integer that google has never heard of

September 7th, 2008 | Categories: general math | Tags:

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.

1. A similar question, with a smaller corpus: what’s the smallest positive integer which doesn’t appear in the Encyclopedia of Integer Sequences?

2. I just checked. 56790636782356487252 does have a google hit now. Way to go.

3. Your search – Two085331103Seven – did not match any documents.
I’m wining here!

*Edited by admin to attempt to stop google from picking up the number mentioned*

4. Hi Manuel

I made a little edit to your post to ensure that google didn’t suddenly start picking up the number you mentioned but then I started a little extra searching of my own and came up with.

two1753318four

Which also has no hits on google (at the moment). That’s 20,635,777,853 lower than yours.

5. The number

eight473740eight

has no hits on google (at the moment). And it’s in the high 8 digits. So Michael Lugo’s guess is holding up pretty well right now.

6. Then again, 5 minutes later the same number gets 10 hits. Weird behavior by Google — I wish I had saved a screenshot.

8. A friend of mine, Kimberly, sent this one to me via email – it’s the lowest one I have come across so far

two1535512six

google hit free as of 16th september 2008

9. The smallest possible integer with no hit on Google found:

0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001

10. Binary searching is fun. =)

11. @Mehul I just searched for that and got loads of hits :)

You’ve inspired a new rule though….prepended zeros not allowed ;)

12. 01010101012101001