# What is the best numerator and denominator couple to get the value of $\pi$?

I need to express the value of $\pi$ as numerator/denominator. What is the best pair considering that the numerator should be less than or equal to $2^{62}$? Or how to get this pair?

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–  Qiaochu Yuan Feb 21 '11 at 12:04
–  Shai Covo Feb 21 '11 at 13:37

I think $\frac{129988029236677443584}{41376474791582048256}$ is the closest fraction to $\pi$ with a numerator less than $2^{62}$.

Edit: I just realized that this question is four years old.

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