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As many as you like; pi is an irrational number. That means that there are no two whole numbers that you can make into a fraction exactly equal to pi. It also means that if you start to calculate pi as a decimal it never ends and never recurrs. It just goes on forever.

A few years ago two Japanese people calculated pi to eight million places of decimals, which they then published in a book. It just never ends.

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Update: in October 2011, pi to 10 trillion (and 50) digits was published. See link.

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