# Find a Formula for Pi

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A Gregory number is a number , where is an integer or rational number. Expanding, . With , we get Leibniz's formula for , which converges too slowly. The larger is, the better the approximation.

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Contributed by: Izidor Hafner (March 2011)

Open content licensed under CC BY-NC-SA

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J. H. Conway and R. K. Guy,* The Book of Numbers*, New York: Copernicus Books/Springer, 2006 pp. 242–247.

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