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pi is an irrational number and one characteristic of irrational numbers is that their decimal representation is neither terminating nor recurrent. This is also true for any other base for counting (other than pi itself).

Also, pi is a transcendental number and so cannot be represented as a sum of algebraic operation on integers.

Although the value of pi has been calculated to an accuracy of over a trillion digits, only 40 digits are required to calculate the circumference of the observable universe to the accuracy of the size of a hydrogen atom!

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Q: What is the accurate version of pi?
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