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New record for calculating the number of pi

French programmer Fabrice Bellard (also known as the founder of the FFmpeg and QEMU projects) on his personal computer running Fedora 10 installed a new world code for calculating the Pi number with an accuracy of 2.7 trillion decimal places (2242301460000 characters in hexadecimal or 2699999990000 in decimal) . This is a curious achievement, because the records for the last 14 years were set on supercomputers worth millions of dollars.

Bellara’s computer has the following characteristics:

64-bit version of Fedora 10
Processor: Core i7, 2.93 GHz
Memory: 6 GB
Disk: five Seagate Barracuda 7200.11 1.5 TB discs
File system: ext4

Record of the calculated number alone took 1137 GB. The secret of high performance lies in the fact that the Frenchman used the Chudnovsky formula , and tested the result using his own method . Details can be found here , and some results of the calculations Bellar laid out on this page.
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The preliminary calculation process took 103 days. Then it took 13 days to check, another 12 days to transfer to the decimal system and 3 days to check the conversion from binary to decimal. A total of 131 days.

The previous record for calculating the number of pi was 2.58 trillion decimal places; it was installed in August 2009 on the Japanese T2K Tsukuba System supercomputer (640 AMD Opteron quad-core processors). The calculations took 73 hours and 36 minutes.

Unfortunately, scientists have not yet found a way to practically apply such an exact value of Pi. Most perfectionist calculations use a maximum of 1000 decimal places.

via linux.org.ru

Source: https://habr.com/ru/post/80459/


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