Yes, Akira Haraguchi , a 60-year old has memorized and repeated 100,000 digits of PI in 16 hours.
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pi is an irrational number so there are no sustained patterns in the digits of pi.
The first eleven digits of pi are:3.141592653
The digits of pi are not periodic. Pi is an irrational constant, and if its digits were periodic, it could be expressed as a ratio of constant integers, meaning it would be rational.
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(Pi) is not an 'infinite number'. It just can't be written exactly with any finite number of digits. But there are plenty of digits available, to make your division as accurate as you want it. You can never get an exact answer, just like you can never write the exact value of (pi), but you can get as close as anyone will ever need to get.