Chudnovsky algorithm

The Chudnovsky algorithm is a fast method for calculating the digits of π, based on Ramanujan's π formulae. Published by the Chudnovsky brothers in 1988,[1] it was used to calculate π to a billion decimal places.[2]

It was used in the world record calculations of 2.7 trillion digits of π in December 2009,[3] 10 trillion digits in October 2011,[4][5] 22.4 trillion digits in November 2016,[6] 31.4 trillion digits in September 2018–January 2019,[7] 50 trillion digits on January 29, 2020,[8] 62.8 trillion digits on August 14, 2021,[9] 100 trillion digits on March 21, 2022,[10] 105 trillion digits on March 14, 2024,[11] and 202 trillion digits on June 28, 2024.[12]

  1. ^ Chudnovsky, David; Chudnovsky, Gregory (1988), Approximation and complex multiplication according to Ramanujan, Ramanujan revisited: proceedings of the centenary conference
  2. ^ Warsi, Karl; Dangerfield, Jan; Farndon, John; Griffiths, Johny; Jackson, Tom; Patel, Mukul; Pope, Sue; Parker, Matt (2019). The Math Book: Big Ideas Simply Explained. New York: Dorling Kindersley Limited. p. 65. ISBN 978-1-4654-8024-8.
  3. ^ Baruah, Nayandeep Deka; Berndt, Bruce C.; Chan, Heng Huat (2009-08-01). "Ramanujan's Series for 1/π: A Survey". American Mathematical Monthly. 116 (7): 567–587. doi:10.4169/193009709X458555.
  4. ^ Yee, Alexander; Kondo, Shigeru (2011), 10 Trillion Digits of Pi: A Case Study of summing Hypergeometric Series to high precision on Multicore Systems, Technical Report, Computer Science Department, University of Illinois, hdl:2142/28348
  5. ^ Aron, Jacob (March 14, 2012), "Constants clash on pi day", New Scientist
  6. ^ "22.4 Trillion Digits of Pi". www.numberworld.org.
  7. ^ "Google Cloud Topples the Pi Record". www.numberworld.org/.
  8. ^ "The Pi Record Returns to the Personal Computer". www.numberworld.org/.
  9. ^ "Pi-Challenge - Weltrekordversuch der FH Graubünden - FH Graubünden". www.fhgr.ch. Retrieved 2021-08-17.
  10. ^ "Calculating 100 trillion digits of pi on Google Cloud". cloud.google.com. Retrieved 2022-06-10.
  11. ^ Yee, Alexander J. (2024-03-14). "Limping to a new Pi Record of 105 Trillion Digits". NumberWorld.org. Retrieved 2024-03-16.
  12. ^ Ranous, Jordan (2024-06-28). "StorageReview Lab Breaks Pi Calculation World Record with Over 202 Trillion Digits". StorageReview.com. Retrieved 2024-07-20.