In Aug 2021,The University of Applied Sciences of the Grisons calculated π to 62,831,853,071,796 digits, adding 12.8 trillion new digits to the previous record. They used a highperformance computer with one terabyte of RAM and 510 terabytes of disk space. The calculation took 108 days and 9 hours to complete.
In March 2019 Iwao Emma Haruka from Google cloud computing calculated the value of π to 31,415,926,535,897 digits using a program called ycruncher. She then set the world record in 2022 by calculating up to 100 trillion digits of π.
The history of the computation of π is a long and fascinating one, dating back to ancient times. π is the ratio of the circumference of a circle to its diameter, and it is an irrational number, meaning that it cannot be expressed as a fraction of two integers. It is also a transcendental number, meaning that it cannot be the solution of any polynomial equation with rational coefficients. Some of the earliest approximations of π were made by the ancient Babylonians, Egyptians, Sumerians, and Chinese, who used various methods to estimate the area or circumference of a circle. They obtained values ranging from 3 to 3.16. The first rigorous calculation of pi was done by Archimedes of Syracuse (287–212 BC), one of the greatest mathematicians of the ancient world. He used a method called exhaustion, which involved inscribing and circumscribing regular polygons around a circle and calculating their perimeters.
Many other mathematicians and scientists contributed to the computation of π over the centuries, using different techniques such as infinite series, continued fractions, arithmeticgeometric means, and Monte Carlo methods.
Some notable names include Zu Chongzhi (429–501), who calculated pi to seven decimal places; François Viète (1540–1603), who derived an infinite product formula for pi; John Machin (1680–1751), who computed pi to 100 decimal places; Srinivasa Ramanujan (1887–1920), who discovered many rapidly converging series for pi; and John Wrench (1913–1990), who computed pi to one million decimal places using a desk calculator. Today, computers have enabled the computation of π to trillions of digits, using algorithms such as the Chudnovsky algorithm, the Bailey–Borwein–Plouffe formula, and the ycruncher program. These calculations are mainly done for testing the performance and reliability of computers, as well as for setting world records.
However, for most practical purposes, only a few digits of π are sufficient. 😊
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