TDD for numerical algorithms

OK, I know this isn't strictly refactoring and more of a TDD question,
but I don't know of a forum specifically for TDD.

How would you use TDD to implement the Mersenne twister random number
generator?  <http://en.wikipedia.org/wiki/Mersenne_Twister>

In particular, I'm curious as to what kind of test cases you would write.

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