| ca 1650 BC | Egyptian scribe Ahmes wrote the Rhind Papyrus documenting that the Egyptions used the equivalent of (16/9)2 ≈ 3.16049. |
| 3rd cent BC | Archimedes of Syracus (287-212 BC) developed the polygonal scheme and established 3 10/71 < π < 3 1/7 (≈3.14084 < π < ≈3.14286) and used 211875/67441 ≈ 3.14163 49 |
| 2nd cent AD | Claudius Ptolemy (87-165 AD) published the value 3+8/60+30/3600 ≈ 3.14167 |
| 5th cent AD | Zu Chongzhi (430-501) established 3.14159 26 < π < 3.14159 27 using the polygonal method. |
| 1424 | π computed to 14 digits by Al-Kashi from Samarkind. |
| 1573 | Valentius Otto used 355/113 (≈3.14159 29203 5). |
| 1671 | James Gregory discovers the arctan series. |
| 1610 | π computed to 35 digits by Ludolph van Ceulen using a polygonal approximation. |
| 1706 | First use of the symbol π to represent the ratio of the circumference to the diameter of a circle by William Jones in Synopsis Palmariorum Matheseos.
Not adopted for general use until 1737 when used by Leonard Euler in Variae observationes circa series infinitas. |
| 1706 | π computed to 100 digits by John Machin using an arctan series. |
| 1761 | π proved to be irrational by the Swiss mathematician Johann Heinrich Lambert. |
| 1874 | π computed to 527 digits by William Shanks (actually computed 707 digits, but error was found in the 528th place in 1946). |
| 1882 | π proved to be transcendental by the mathematician Carl Louis Ferninand von Lindemann. |
| 1947 | π computed to 808 places by D. F. Ferguson using a desk calculator. |
| 1949 | first time 1,000 digits of π computed—2037 digits using the computer ENIAC (previous record was 808 digits) |
| 1958 | π computed to 10,021 digits using a Pegasus computer by Felton at the Paris Data Processing Center. |
| 1961 | π computed to 100,265 digits using an IBM 7090 computer at the IBM Data Processing Center in New York by Daniel Shanks and John M. Wrench, Jr. |
| 1973 | π computed to 1,000,000 digits using an CDC 7600 computer by Jean Guilloud and Martine Bouyer. |
| 1976 | Richard Brent and Eugene Salamin published a new iterative and quadratic algorithm to determine π. |
| 1989 | David and Gregory Chudnovsky published a new very fast series to compute π. |
| 1989 | π computed to 1,011,000,000 digits by David and Gregory Chudnovsky on a home build computer, m zero. |
| 1995 | David Bailey, Peter Borwein, and Simon Plouffe publishes an efficient method to compute the nth hexadecimal digit of π without having the previous n-1 digits. |
| 2002 | π computed to 1,241,100,000,000 digits using an Hitachi SR8000/MP supercomputer by Yasumada Kanaka and coworkers at the University of Tokyo. |