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The "applied" number theory reminds me of a couple other stories:

-the Laundry novels (Charlie Stross). Here's one novella: http://www.goldengryphon.com/Stross-Concrete.html

-Luminous/Dark Integers (Greg Egan).



Here's another great Laundry story: http://www.tor.com/stories/2008/07/down-on-the-farm




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