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π calculated to 31 trillion digits

This Pi Day, Emma Haruka Iwao has announced calculation of \(\pi\) to \( \pi \times 10^{13} = 31,\!415,\!926,\!535,\!897 \) digits, exceeding the previous record of 22 trillion digits set in November 2016.

This used y-cruncher, running Chudnovky’s algorithm. Chudnovky’s algorithm is \( \mathcal{O}(n(\log n)^3)\), making each record more impressive. In a blog post, Emma writes about the benefits of using a cloud cluster, saying the calculation ran on a virtual machine cluster, using

25 nodes for 111.8 days, or 2,795 machine-days (7.6 machine-years), during which time Google Cloud performed thousands of live migrations uninterrupted and with no impact on the calculation process.

Ways to access the digits and fun related bits and bobs are outlined in the blog post.

More information

Pi in the sky: Calculating a record-breaking 31.4 trillion digits of Archimedes’ constant on Google Cloud by Emma Haruka Iwao.

Emma Haruka Iwao smashes pi world record with Google help, BBC News.

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