# Google's Mysterious Billboard

Google apparently is behind this
mysterious billboard that presents a nice number theory problem. *I love
number theory!*

Of course, I could have written a program to sift through the digits of e to find the answer to this question, but I’m a pragmatic soul and figure why not just use Google since it’s 3 AM and I’m tired (I know, it’s cheating, but how good Google fault you for using Google?) The answer to this problem is also a website (7427466391) which presents a more challenging problem.

Congratulations. You’ve made it to level 2. Go to www.Linux.org and enter Bobsyouruncle as the login and the answer to this equation as the password.

`f(1)= 7182818284 f(2)= 8182845904 f(3)= 8747135266 f(4)= 7427466391 f(5)= __________`

Keeping in theme with Google’s love affair for the number *e*, I soon
realized (by looking at this
site
that displays the first 2 million digits of *e*) that each of these
numbers are consecutive 10 digit sequences of *e*.

I’ll give you a hint, if you sum the digits of each number (something I
typically do to see if the numbers are divisible by 3), you*’*ll find an
interesting result (other than they aren*’*t divisible by 3). That
should lead you to the final answer with a bit of coding.

The final answer takes you to a recruiting page. What an ingenious and clever way to recruit talent, though I suppose by giving away the answer, I’ve defeated the purpose. How naughty!