Emma Haruka found the “end” of Pi with 100 trillion decimal places

The number Pi has been known since antiquity, but it is still filled with as much mystery as Emma Haruka tries to unravel.

In 2019, Emma Haruka, who works as a developer for Google Cloud, had already been talked about for the first time. Indeed, she had managed the small feat of calculating up to 3 trillion digits behind the decimal point in the most famous of the numbers “Pi”. But now she’s back to business.

Indeed, this developer ensures that “Pi has been my passion since I was a child” and that already as a teenager she had used a “SuperPi” program which makes it possible to calculate approximately one million decimal places. In a brand new post, she announced that she had used Google computers to find even more decimal places.

She proudly announced that she had achieved the feat of reaching the 100th trillionth digit after the decimal point. This is, for the record, a 0. As a reminder for those who are not very diligent in math class in college, Pi is the ratio between the circumference of a circle and its diameter.

The whole peculiarity of this number is that it cannot be expressed precisely in the form of a fraction or a root, so it is noted π in the mathematical calculations of the whole world, and that, since antiquity. Long described as indefinite, the figure could actually have an end according to the latest calculations by researchers looking into the subject.

Pi: 3.14, but not only

In the collective unconscious and the great bulk of mathematical calculations, Pi equals 3.14. If Emma Haruka’s calculation is obviously interesting from a mathematical point of view, it is above all a demonstration of the power of Google’s cloud services which have made a real technological leap forward since 2019.

According to her, today’s processors are much faster, so is data storage and much better network capacities, which makes it possible to synchronize the hardware performing the various calculations. Haruka ensures that this project is above all a demonstration aimed at popularizing the use of the Cloud, particularly in the world of scientific research.

Aware of the immense scope of this technology, Google has published a demo of use for everyone who can calculate a few decimal places for Pi. Enough to achieve a thousandth of a billionth of a percent of Haruka’s work, but that’s it.

27,000 kilometers of data

To fully appreciate the amount of figures discovered, and the computing power required for the latter, Google explains that the calculation took 157 days, or more than 5 months, and operated 128 virtual processors using a staggering total. 864 GB of RAM. In total the program processed more than 82,000 terabytes of data.

If all this data were to be printed on sheets of paper, in Arial 11, we could fill 27,000 billion A4 sheets (counting around 3000 bytes per sheet). With a thickness of 0.1 millimeter, superimposing these billions of sheets makes it possible to build a “tower” of 27,300 kilometers. Enough to make a Paris-Sydney round trip.

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