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The evolution of high-performance computing and algorithms, particularly the advent of the Fast Fourier Transform (FFT) and the Chudnovsky algorithm, has significantly advanced the calculation of pi to extreme precision. Modern supercomputers, equipped with vast amounts of memory and processing power, can execute these complex calculations rapidly. Additionally, parallel computing techniques enable the distribution of tasks across multiple processors, further enhancing the efficiency of calculating pi to billions or even trillions of digits. These technological advancements have made it possible to push the boundaries of numerical precision in mathematics.

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7mo ago

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