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Google, Euler's Number and the Hidden Prime

Computer Science Level 2 40 points

Find the first 10-digit prime number that is found in consecutive digits of \(e\).

Background: The tech giant Google is known to have setup such billboards in the heart of Silicon Valley, and later in Cambridge, Massachusetts; Seattle, Washington; and Austin, Texas. It read

"{first 10-digit prime found in consecutive digits of e}.com".

Solving this problem and visiting the web site led to an even more difficult problem to solve, which in turn led to Google Labs where the visitor was invited to submit a resume. Unfortunately that website has been taken down.


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