Warning:Google Brake For Number Theory

Google have always worked hard to hire the smartest engineers. Now they use a billboard to find a few more! .More info about this puzzle!
After you solve first and seconde problem, you have to go to www.Linux.org and enter a username and password. You will see the following page if your answers are correct :

Congratulations. Nice work. Well done. Mazel tov. You've made it to Google Labs and we're glad you're here. One thing we learned while building Google is that it's easier to find what you're looking for if it comes looking for you. What we're looking for are the best engineers in the world. And here you are. As you can imagine, we get many, many resumes every day, so we developed this little process to increase the signal to noise ratio. We apologize for taking so much of your time just to ask you to consider working with us. We hope you'll feel it was worthwhile when you look at some of the interesting projects we're developing right now. You'll find links to more information about our efforts below, but before you get immersed in machine learning and genetic algorithms, please send your resume to us at problem-solver@google.com. We're tackling a lot of engineering challenges that may not actually be solvable. If they are, they'll change a lot of things. If they're not, well, it will be fun to try anyway. We could use your big, magnificent brain to help us find out. Some information about our current projects: Why you should work at Google Looking for interesting work that matters to millions of people? http://labs.google.com ©2004 Google

Gmail Agent API v0.5 / Mail Notifier & Address Importer

Pop Goes the Gmail is a program that sits between the http://gmail.com web server and your email client, converting messages from web format into POP3 format that a program such as Outlook Express or Thunderbird can understand.
 
The features:
Multiple account support
Balloon notification of new messages with message preview
Address book view and import (from tab-delimited text files)
 
You can find more info about this program in the flowing links:
API Reference, PGtGM Forum, Screenshots
Download : Executable file , SourceCode, .Net Framework 1.1 (via iProDev)

Some link about Pervasive computing

I am doing a research about pervasive computing. If your are interested about Pervasive Computing here are some useful links:
Ebiquity.org: An online community for pervasive computing.
Most popular topics in Ebiquity
A weblog about Intelligent Mobile and Pervasive Computing
Exploring the use of semantic web technology in ubiquitous computing

STATEMENT OF PURPOSE - ENGINEERING

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