Timeline of Numerals and Arithmetic - Calculation of Pi

Calculation of Pi

  • 1706 - John Machin develops a quickly converging inverse-tangent series for π and computes π to 100 decimal places.
  • 1789 - Jurij Vega improves Machin's formula and computes π to 140 decimal places.
  • 1949 - John von Neumann computes π to 2,037 decimal places using ENIAC.
  • 1961 - Daniel Shanks and John Wrench compute π to 100,000 decimal places using an inverse-tangent identity and an IBM-7090 computer.
  • 1987 - Yasumasa Kanada, David Bailey, Jonathan Borwein, and Peter Borwein use iterative modular equation approximations to elliptic integrals and a NEC SX-2 supercomputer to compute π to 134 million decimal places.
  • 2002 - Yasumasa Kanada, Y. Ushiro, Hisayasu Kuroda, Makoto Kudoh and a team of nine more compute π to 1241.1 billion digits using a Hitachi 64-node supercomputer.

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