# 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
See also demonstrations.wolfram.com/… –  lhf Feb 21 '11 at 12:18
–  Shai Covo Feb 21 '11 at 13:37