Google researchers have just set a new record in revealing the decimals of the number Pi… They have gone as far as 100 trillion digits after the decimal point! A calculation made using the elasticity of its own cloud.
At Google, some developers have fun exploiting the power of the Google Cloud infrastructure and its almost infinite resources to calculate explore the decimals of the number Pi. They already had a precedent set in 2019 by which they had managed to calculate 31,415,926,535 .897 digits after the decimal point (thirty-one thousand billion digits) of the famous number of which we know all the first digits: 3.14159…
At the time they had used 25 VMs, 170 TB of storage and 121 consecutive days of 7/24 computing.
Since then, this record had been beaten in 2021 by a team from the University of Zurich, which had thus revealed 62.8 trillion decimal places of Pi.
Google researchers have just repeated the adventure and regained the record. This time they have exceeded the barrier of one hundred trillion decimal places. And to get there, they once again used the resources of Google Cloud. The calculation has monopolized – for 158 days (157 d, 23 h, 31 m, 7 sec) – a “Compute Engine N2” computing instance with 128 vCPUs and 864 GB of RAM associated with 32 “Compute Engine N2” type storage instances, each with 16 vCPUs within a 32 Gbps network and forming a total of 663 TB storage space. The entire cluster was configured and managed with Terraform.
This infrastructure made it possible to calculate the value of Pi with an accuracy of 100,000,000,000,000 digits! We therefore know the one hundred thousand billionth digit after the decimal point of Pi. And it is “0”!
Suppose each number is a note. If the number found on the piano had to be played with a techno trance rhythm (314 BPM), it would take the musician 605,516 years to play the score.
And if you are really super curious and absolutely want to discover each of the hundred thousand billion decimals sz Pi, Google offers a site to explore them: https://pi.delivery/
Reminder: Although sometimes referred to as Archimedes’ constant, the history of Pi goes back to the Babylonian tablets. This constant is the ratio of the circumference of a circle to its diameter in a Euclidean plane, in other words the ratio of the air of a disk to the square of its radius (A/r²). Regardless of the size of the circle, this ratio remains constant. It is one of the most important constants in mathematics. It is involved in a multitude of mathematical and physical calculations. Approximating Pi is a style exercise that has been practiced since the 200s AD.
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